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Finding the Third Proportional to 38,748 and 57,970

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Solution

The third proportional to 38,748 and 57,970 is: 86,727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,748 : 57,970 = 57,970 : x
  2. Step 2: Convert to fraction form
    38,748/57,970 = 57,970/x
  3. Step 3: Cross multiply
    38,748x = 57,970 × 57,970
  4. Step 4: Simplify right side
    38,748x = 3,360,520,900
  5. Step 5: Solve for x
    x = 3,360,520,900/38,748
  6. Step 6: Final answer
    x = 86,727.60

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