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Finding the Third Proportional to 29,124 and 61,716

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Solution

The third proportional to 29,124 and 61,716 is: 130,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,124 : 61,716 = 61,716 : x
  2. Step 2: Convert to fraction form
    29,124/61,716 = 61,716/x
  3. Step 3: Cross multiply
    29,124x = 61,716 × 61,716
  4. Step 4: Simplify right side
    29,124x = 3,808,864,656
  5. Step 5: Solve for x
    x = 3,808,864,656/29,124
  6. Step 6: Final answer
    x = 130,780.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.