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Finding the Third Proportional to 29,251.13 and 45,365.06

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Solution

The third proportional to 29,251.13 and 45,365.06 is: 70,355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,251.13 : 45,365.06 = 45,365.06 : x
  2. Step 2: Convert to fraction form
    29,251.13/45,365.06 = 45,365.06/x
  3. Step 3: Cross multiply
    29,251.13x = 45,365.06 × 45,365.06
  4. Step 4: Simplify right side
    29,251.13x = 2,057,988,895.63
  5. Step 5: Solve for x
    x = 2,057,988,895.63/29,251.13
  6. Step 6: Final answer
    x = 70,355.89

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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.