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Finding the Third Proportional to 44,641.13 and 69,179.06

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Solution

The third proportional to 44,641.13 and 69,179.06 is: 107,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,641.13 : 69,179.06 = 69,179.06 : x
  2. Step 2: Convert to fraction form
    44,641.13/69,179.06 = 69,179.06/x
  3. Step 3: Cross multiply
    44,641.13x = 69,179.06 × 69,179.06
  4. Step 4: Simplify right side
    44,641.13x = 4,785,742,688.38
  5. Step 5: Solve for x
    x = 4,785,742,688.38/44,641.13
  6. Step 6: Final answer
    x = 107,204.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.