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Finding the Third Proportional to 11,549 and 24,677.50

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Solution

The third proportional to 11,549 and 24,677.50 is: 52,730.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549 : 24,677.50 = 24,677.50 : x
  2. Step 2: Convert to fraction form
    11,549/24,677.50 = 24,677.50/x
  3. Step 3: Cross multiply
    11,549x = 24,677.50 × 24,677.50
  4. Step 4: Simplify right side
    11,549x = 608,979,006.25
  5. Step 5: Solve for x
    x = 608,979,006.25/11,549
  6. Step 6: Final answer
    x = 52,730.02

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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.