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Finding the Third Proportional to 24,952 and 37,428

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Solution

The third proportional to 24,952 and 37,428 is: 56,142

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,952 : 37,428 = 37,428 : x
  2. Step 2: Convert to fraction form
    24,952/37,428 = 37,428/x
  3. Step 3: Cross multiply
    24,952x = 37,428 × 37,428
  4. Step 4: Simplify right side
    24,952x = 1,400,855,184
  5. Step 5: Solve for x
    x = 1,400,855,184/24,952
  6. Step 6: Final answer
    x = 56,142

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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.