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Finding the Third Proportional to 14,262.75 and 33,328.13

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Solution

The third proportional to 14,262.75 and 33,328.13 is: 77,878.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.75 : 33,328.13 = 33,328.13 : x
  2. Step 2: Convert to fraction form
    14,262.75/33,328.13 = 33,328.13/x
  3. Step 3: Cross multiply
    14,262.75x = 33,328.13 × 33,328.13
  4. Step 4: Simplify right side
    14,262.75x = 1,110,763,916.02
  5. Step 5: Solve for x
    x = 1,110,763,916.02/14,262.75
  6. Step 6: Final answer
    x = 77,878.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.