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Finding the Third Proportional to 25,870 and 39,557

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Solution

The third proportional to 25,870 and 39,557 is: 60,485.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,870 : 39,557 = 39,557 : x
  2. Step 2: Convert to fraction form
    25,870/39,557 = 39,557/x
  3. Step 3: Cross multiply
    25,870x = 39,557 × 39,557
  4. Step 4: Simplify right side
    25,870x = 1,564,756,249
  5. Step 5: Solve for x
    x = 1,564,756,249/25,870
  6. Step 6: Final answer
    x = 60,485.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.