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Finding the Third Proportional to 24,332 and 37,000

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Solution

The third proportional to 24,332 and 37,000 is: 56,263.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,332 : 37,000 = 37,000 : x
  2. Step 2: Convert to fraction form
    24,332/37,000 = 37,000/x
  3. Step 3: Cross multiply
    24,332x = 37,000 × 37,000
  4. Step 4: Simplify right side
    24,332x = 1,369,000,000
  5. Step 5: Solve for x
    x = 1,369,000,000/24,332
  6. Step 6: Final answer
    x = 56,263.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.