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Finding the Third Proportional to 29,845.13 and 64,352.81

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Solution

The third proportional to 29,845.13 and 64,352.81 is: 138,759.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,845.13 : 64,352.81 = 64,352.81 : x
  2. Step 2: Convert to fraction form
    29,845.13/64,352.81 = 64,352.81/x
  3. Step 3: Cross multiply
    29,845.13x = 64,352.81 × 64,352.81
  4. Step 4: Simplify right side
    29,845.13x = 4,141,284,476.66
  5. Step 5: Solve for x
    x = 4,141,284,476.66/29,845.13
  6. Step 6: Final answer
    x = 138,759.16

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Why These Related Problems?

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