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Finding the Third Proportional to 24,393 and 35,663

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Solution

The third proportional to 24,393 and 35,663 is: 52,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,393 : 35,663 = 35,663 : x
  2. Step 2: Convert to fraction form
    24,393/35,663 = 35,663/x
  3. Step 3: Cross multiply
    24,393x = 35,663 × 35,663
  4. Step 4: Simplify right side
    24,393x = 1,271,849,569
  5. Step 5: Solve for x
    x = 1,271,849,569/24,393
  6. Step 6: Final answer
    x = 52,139.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.