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Finding the Third Proportional to 25,705.38 and 35,019.13

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Solution

The third proportional to 25,705.38 and 35,019.13 is: 47,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,705.38 : 35,019.13 = 35,019.13 : x
  2. Step 2: Convert to fraction form
    25,705.38/35,019.13 = 35,019.13/x
  3. Step 3: Cross multiply
    25,705.38x = 35,019.13 × 35,019.13
  4. Step 4: Simplify right side
    25,705.38x = 1,226,339,115.77
  5. Step 5: Solve for x
    x = 1,226,339,115.77/25,705.38
  6. Step 6: Final answer
    x = 47,707.50

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.