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Finding the Third Proportional to 31,610.25 and 69,417

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Solution

The third proportional to 31,610.25 and 69,417 is: 152,441.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,610.25 : 69,417 = 69,417 : x
  2. Step 2: Convert to fraction form
    31,610.25/69,417 = 69,417/x
  3. Step 3: Cross multiply
    31,610.25x = 69,417 × 69,417
  4. Step 4: Simplify right side
    31,610.25x = 4,818,719,889
  5. Step 5: Solve for x
    x = 4,818,719,889/31,610.25
  6. Step 6: Final answer
    x = 152,441.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.