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Finding the Third Proportional to 29,159 and 45,687

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Solution

The third proportional to 29,159 and 45,687 is: 71,583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,159 : 45,687 = 45,687 : x
  2. Step 2: Convert to fraction form
    29,159/45,687 = 45,687/x
  3. Step 3: Cross multiply
    29,159x = 45,687 × 45,687
  4. Step 4: Simplify right side
    29,159x = 2,087,301,969
  5. Step 5: Solve for x
    x = 2,087,301,969/29,159
  6. Step 6: Final answer
    x = 71,583.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.