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Finding the Third Proportional to 29,674.69 and 64,032.19

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Solution

The third proportional to 29,674.69 and 64,032.19 is: 138,168.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,674.69 : 64,032.19 = 64,032.19 : x
  2. Step 2: Convert to fraction form
    29,674.69/64,032.19 = 64,032.19/x
  3. Step 3: Cross multiply
    29,674.69x = 64,032.19 × 64,032.19
  4. Step 4: Simplify right side
    29,674.69x = 4,100,121,036.04
  5. Step 5: Solve for x
    x = 4,100,121,036.04/29,674.69
  6. Step 6: Final answer
    x = 138,168.97

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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.