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Finding the Third Proportional to 24,829 and 58,562

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Solution

The third proportional to 24,829 and 58,562 is: 138,125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,829 : 58,562 = 58,562 : x
  2. Step 2: Convert to fraction form
    24,829/58,562 = 58,562/x
  3. Step 3: Cross multiply
    24,829x = 58,562 × 58,562
  4. Step 4: Simplify right side
    24,829x = 3,429,507,844
  5. Step 5: Solve for x
    x = 3,429,507,844/24,829
  6. Step 6: Final answer
    x = 138,125.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.