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Finding the Third Proportional to 25,924 and 56,870

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Solution

The third proportional to 25,924 and 56,870 is: 124,756.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,924 : 56,870 = 56,870 : x
  2. Step 2: Convert to fraction form
    25,924/56,870 = 56,870/x
  3. Step 3: Cross multiply
    25,924x = 56,870 × 56,870
  4. Step 4: Simplify right side
    25,924x = 3,234,196,900
  5. Step 5: Solve for x
    x = 3,234,196,900/25,924
  6. Step 6: Final answer
    x = 124,756.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.