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Finding the Third Proportional to 24,588 and 52,682

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Solution

The third proportional to 24,588 and 52,682 is: 112,875.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,588 : 52,682 = 52,682 : x
  2. Step 2: Convert to fraction form
    24,588/52,682 = 52,682/x
  3. Step 3: Cross multiply
    24,588x = 52,682 × 52,682
  4. Step 4: Simplify right side
    24,588x = 2,775,393,124
  5. Step 5: Solve for x
    x = 2,775,393,124/24,588
  6. Step 6: Final answer
    x = 112,875.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.