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Finding the Third Proportional to 7,952.50 and 16,931

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Solution

The third proportional to 7,952.50 and 16,931 is: 36,046.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.50 : 16,931 = 16,931 : x
  2. Step 2: Convert to fraction form
    7,952.50/16,931 = 16,931/x
  3. Step 3: Cross multiply
    7,952.50x = 16,931 × 16,931
  4. Step 4: Simplify right side
    7,952.50x = 286,658,761
  5. Step 5: Solve for x
    x = 286,658,761/7,952.50
  6. Step 6: Final answer
    x = 36,046.37

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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.