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Finding the Third Proportional to 14,917.50 and 38,215.13

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Solution

The third proportional to 14,917.50 and 38,215.13 is: 97,898.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,917.50 : 38,215.13 = 38,215.13 : x
  2. Step 2: Convert to fraction form
    14,917.50/38,215.13 = 38,215.13/x
  3. Step 3: Cross multiply
    14,917.50x = 38,215.13 × 38,215.13
  4. Step 4: Simplify right side
    14,917.50x = 1,460,395,778.77
  5. Step 5: Solve for x
    x = 1,460,395,778.77/14,917.50
  6. Step 6: Final answer
    x = 97,898.16

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.