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Finding the Third Proportional to 29,186 and 45,069

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Solution

The third proportional to 29,186 and 45,069 is: 69,595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,186 : 45,069 = 45,069 : x
  2. Step 2: Convert to fraction form
    29,186/45,069 = 45,069/x
  3. Step 3: Cross multiply
    29,186x = 45,069 × 45,069
  4. Step 4: Simplify right side
    29,186x = 2,031,214,761
  5. Step 5: Solve for x
    x = 2,031,214,761/29,186
  6. Step 6: Final answer
    x = 69,595.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.