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Finding the Third Proportional to 26,071 and 40,387.50

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Solution

The third proportional to 26,071 and 40,387.50 is: 62,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,071 : 40,387.50 = 40,387.50 : x
  2. Step 2: Convert to fraction form
    26,071/40,387.50 = 40,387.50/x
  3. Step 3: Cross multiply
    26,071x = 40,387.50 × 40,387.50
  4. Step 4: Simplify right side
    26,071x = 1,631,150,156.25
  5. Step 5: Solve for x
    x = 1,631,150,156.25/26,071
  6. Step 6: Final answer
    x = 62,565.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.