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Finding the Third Proportional to 10,658 and 24,894

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Solution

The third proportional to 10,658 and 24,894 is: 58,145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658 : 24,894 = 24,894 : x
  2. Step 2: Convert to fraction form
    10,658/24,894 = 24,894/x
  3. Step 3: Cross multiply
    10,658x = 24,894 × 24,894
  4. Step 4: Simplify right side
    10,658x = 619,711,236
  5. Step 5: Solve for x
    x = 619,711,236/10,658
  6. Step 6: Final answer
    x = 58,145.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.