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Finding the Third Proportional to 38,280 and 57,460.13

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Solution

The third proportional to 38,280 and 57,460.13 is: 86,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,280 : 57,460.13 = 57,460.13 : x
  2. Step 2: Convert to fraction form
    38,280/57,460.13 = 57,460.13/x
  3. Step 3: Cross multiply
    38,280x = 57,460.13 × 57,460.13
  4. Step 4: Simplify right side
    38,280x = 3,301,665,965.02
  5. Step 5: Solve for x
    x = 3,301,665,965.02/38,280
  6. Step 6: Final answer
    x = 86,250.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.