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Finding the Third Proportional to 28,942 and 61,700

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Solution

The third proportional to 28,942 and 61,700 is: 131,535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,942 : 61,700 = 61,700 : x
  2. Step 2: Convert to fraction form
    28,942/61,700 = 61,700/x
  3. Step 3: Cross multiply
    28,942x = 61,700 × 61,700
  4. Step 4: Simplify right side
    28,942x = 3,806,890,000
  5. Step 5: Solve for x
    x = 3,806,890,000/28,942
  6. Step 6: Final answer
    x = 131,535.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.