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Finding the Third Proportional to 29,899.13 and 64,091.25

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Solution

The third proportional to 29,899.13 and 64,091.25 is: 137,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,899.13 : 64,091.25 = 64,091.25 : x
  2. Step 2: Convert to fraction form
    29,899.13/64,091.25 = 64,091.25/x
  3. Step 3: Cross multiply
    29,899.13x = 64,091.25 × 64,091.25
  4. Step 4: Simplify right side
    29,899.13x = 4,107,688,326.56
  5. Step 5: Solve for x
    x = 4,107,688,326.56/29,899.13
  6. Step 6: Final answer
    x = 137,384.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.