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Finding the Third Proportional to 25,540.13 and 38,345.06

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Solution

The third proportional to 25,540.13 and 38,345.06 is: 57,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,540.13 : 38,345.06 = 38,345.06 : x
  2. Step 2: Convert to fraction form
    25,540.13/38,345.06 = 38,345.06/x
  3. Step 3: Cross multiply
    25,540.13x = 38,345.06 × 38,345.06
  4. Step 4: Simplify right side
    25,540.13x = 1,470,343,818.13
  5. Step 5: Solve for x
    x = 1,470,343,818.13/25,540.13
  6. Step 6: Final answer
    x = 57,569.95

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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.