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Finding the Third Proportional to 38,272.50 and 56,862

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Solution

The third proportional to 38,272.50 and 56,862 is: 84,480.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,272.50 : 56,862 = 56,862 : x
  2. Step 2: Convert to fraction form
    38,272.50/56,862 = 56,862/x
  3. Step 3: Cross multiply
    38,272.50x = 56,862 × 56,862
  4. Step 4: Simplify right side
    38,272.50x = 3,233,287,044
  5. Step 5: Solve for x
    x = 3,233,287,044/38,272.50
  6. Step 6: Final answer
    x = 84,480.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.