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Finding the Third Proportional to 34,708.50 and 71,877.38

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Solution

The third proportional to 34,708.50 and 71,877.38 is: 148,849.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,708.50 : 71,877.38 = 71,877.38 : x
  2. Step 2: Convert to fraction form
    34,708.50/71,877.38 = 71,877.38/x
  3. Step 3: Cross multiply
    34,708.50x = 71,877.38 × 71,877.38
  4. Step 4: Simplify right side
    34,708.50x = 5,166,357,036.89
  5. Step 5: Solve for x
    x = 5,166,357,036.89/34,708.50
  6. Step 6: Final answer
    x = 148,849.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.