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Finding the Third Proportional to 24,874 and 37,423

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Solution

The third proportional to 24,874 and 37,423 is: 56,303.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,874 : 37,423 = 37,423 : x
  2. Step 2: Convert to fraction form
    24,874/37,423 = 37,423/x
  3. Step 3: Cross multiply
    24,874x = 37,423 × 37,423
  4. Step 4: Simplify right side
    24,874x = 1,400,480,929
  5. Step 5: Solve for x
    x = 1,400,480,929/24,874
  6. Step 6: Final answer
    x = 56,303.00

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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.