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Finding the Third Proportional to 31,597.88 and 69,129.88

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Solution

The third proportional to 31,597.88 and 69,129.88 is: 151,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,597.88 : 69,129.88 = 69,129.88 : x
  2. Step 2: Convert to fraction form
    31,597.88/69,129.88 = 69,129.88/x
  3. Step 3: Cross multiply
    31,597.88x = 69,129.88 × 69,129.88
  4. Step 4: Simplify right side
    31,597.88x = 4,778,939,617.52
  5. Step 5: Solve for x
    x = 4,778,939,617.52/31,597.88
  6. Step 6: Final answer
    x = 151,242.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.