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Finding the Third Proportional to 32,167.13 and 42,950.25

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Solution

The third proportional to 32,167.13 and 42,950.25 is: 57,348.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,167.13 : 42,950.25 = 42,950.25 : x
  2. Step 2: Convert to fraction form
    32,167.13/42,950.25 = 42,950.25/x
  3. Step 3: Cross multiply
    32,167.13x = 42,950.25 × 42,950.25
  4. Step 4: Simplify right side
    32,167.13x = 1,844,723,975.06
  5. Step 5: Solve for x
    x = 1,844,723,975.06/32,167.13
  6. Step 6: Final answer
    x = 57,348.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.