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Finding the Third Proportional to 29,541.59 and 64,849.68

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Solution

The third proportional to 29,541.59 and 64,849.68 is: 142,357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,541.59 : 64,849.68 = 64,849.68 : x
  2. Step 2: Convert to fraction form
    29,541.59/64,849.68 = 64,849.68/x
  3. Step 3: Cross multiply
    29,541.59x = 64,849.68 × 64,849.68
  4. Step 4: Simplify right side
    29,541.59x = 4,205,480,448.93
  5. Step 5: Solve for x
    x = 4,205,480,448.93/29,541.59
  6. Step 6: Final answer
    x = 142,357.98

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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.