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Finding the Third Proportional to 25,120.13 and 31,726.69

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Solution

The third proportional to 25,120.13 and 31,726.69 is: 40,070.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,120.13 : 31,726.69 = 31,726.69 : x
  2. Step 2: Convert to fraction form
    25,120.13/31,726.69 = 31,726.69/x
  3. Step 3: Cross multiply
    25,120.13x = 31,726.69 × 31,726.69
  4. Step 4: Simplify right side
    25,120.13x = 1,006,582,699.72
  5. Step 5: Solve for x
    x = 1,006,582,699.72/25,120.13
  6. Step 6: Final answer
    x = 40,070.77

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.