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Finding the Third Proportional to 29,819.59 and 64,309.69

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Solution

The third proportional to 29,819.59 and 64,309.69 is: 138,691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,819.59 : 64,309.69 = 64,309.69 : x
  2. Step 2: Convert to fraction form
    29,819.59/64,309.69 = 64,309.69/x
  3. Step 3: Cross multiply
    29,819.59x = 64,309.69 × 64,309.69
  4. Step 4: Simplify right side
    29,819.59x = 4,135,736,094.76
  5. Step 5: Solve for x
    x = 4,135,736,094.76/29,819.59
  6. Step 6: Final answer
    x = 138,691.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.