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Finding the Third Proportional to 24,389 and 35,654

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Solution

The third proportional to 24,389 and 35,654 is: 52,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,389 : 35,654 = 35,654 : x
  2. Step 2: Convert to fraction form
    24,389/35,654 = 35,654/x
  3. Step 3: Cross multiply
    24,389x = 35,654 × 35,654
  4. Step 4: Simplify right side
    24,389x = 1,271,207,716
  5. Step 5: Solve for x
    x = 1,271,207,716/24,389
  6. Step 6: Final answer
    x = 52,122.17

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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.