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Finding the Third Proportional to 25,930.13 and 42,985.69

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Solution

The third proportional to 25,930.13 and 42,985.69 is: 71,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,930.13 : 42,985.69 = 42,985.69 : x
  2. Step 2: Convert to fraction form
    25,930.13/42,985.69 = 42,985.69/x
  3. Step 3: Cross multiply
    25,930.13x = 42,985.69 × 42,985.69
  4. Step 4: Simplify right side
    25,930.13x = 1,847,769,329.85
  5. Step 5: Solve for x
    x = 1,847,769,329.85/25,930.13
  6. Step 6: Final answer
    x = 71,259.56

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.