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Finding the Third Proportional to 24,856 and 37,646

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Solution

The third proportional to 24,856 and 37,646 is: 57,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,856 : 37,646 = 37,646 : x
  2. Step 2: Convert to fraction form
    24,856/37,646 = 37,646/x
  3. Step 3: Cross multiply
    24,856x = 37,646 × 37,646
  4. Step 4: Simplify right side
    24,856x = 1,417,221,316
  5. Step 5: Solve for x
    x = 1,417,221,316/24,856
  6. Step 6: Final answer
    x = 57,017.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.