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Finding the Third Proportional to 42,253.75 and 64,952.75

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Solution

The third proportional to 42,253.75 and 64,952.75 is: 99,845.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,253.75 : 64,952.75 = 64,952.75 : x
  2. Step 2: Convert to fraction form
    42,253.75/64,952.75 = 64,952.75/x
  3. Step 3: Cross multiply
    42,253.75x = 64,952.75 × 64,952.75
  4. Step 4: Simplify right side
    42,253.75x = 4,218,859,732.56
  5. Step 5: Solve for x
    x = 4,218,859,732.56/42,253.75
  6. Step 6: Final answer
    x = 99,845.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.