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Finding the Third Proportional to 14,116.78 and 30,215.53

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Solution

The third proportional to 14,116.78 and 30,215.53 is: 64,673.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.78 : 30,215.53 = 30,215.53 : x
  2. Step 2: Convert to fraction form
    14,116.78/30,215.53 = 30,215.53/x
  3. Step 3: Cross multiply
    14,116.78x = 30,215.53 × 30,215.53
  4. Step 4: Simplify right side
    14,116.78x = 912,978,328.72
  5. Step 5: Solve for x
    x = 912,978,328.72/14,116.78
  6. Step 6: Final answer
    x = 64,673.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.