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Finding the Third Proportional to 32,497 and 70,942

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Solution

The third proportional to 32,497 and 70,942 is: 154,868.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,497 : 70,942 = 70,942 : x
  2. Step 2: Convert to fraction form
    32,497/70,942 = 70,942/x
  3. Step 3: Cross multiply
    32,497x = 70,942 × 70,942
  4. Step 4: Simplify right side
    32,497x = 5,032,767,364
  5. Step 5: Solve for x
    x = 5,032,767,364/32,497
  6. Step 6: Final answer
    x = 154,868.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.