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Finding the Third Proportional to 31,357.13 and 67,513.50

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Solution

The third proportional to 31,357.13 and 67,513.50 is: 145,360.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,357.13 : 67,513.50 = 67,513.50 : x
  2. Step 2: Convert to fraction form
    31,357.13/67,513.50 = 67,513.50/x
  3. Step 3: Cross multiply
    31,357.13x = 67,513.50 × 67,513.50
  4. Step 4: Simplify right side
    31,357.13x = 4,558,072,682.25
  5. Step 5: Solve for x
    x = 4,558,072,682.25/31,357.13
  6. Step 6: Final answer
    x = 145,360.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.