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Finding the Third Proportional to 14,262.75 and 34,683.75

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Solution

The third proportional to 14,262.75 and 34,683.75 is: 84,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.75 : 34,683.75 = 34,683.75 : x
  2. Step 2: Convert to fraction form
    14,262.75/34,683.75 = 34,683.75/x
  3. Step 3: Cross multiply
    14,262.75x = 34,683.75 × 34,683.75
  4. Step 4: Simplify right side
    14,262.75x = 1,202,962,514.06
  5. Step 5: Solve for x
    x = 1,202,962,514.06/14,262.75
  6. Step 6: Final answer
    x = 84,342.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.