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Finding the Third Proportional to 29,163 and 45,032

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Solution

The third proportional to 29,163 and 45,032 is: 69,536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,163 : 45,032 = 45,032 : x
  2. Step 2: Convert to fraction form
    29,163/45,032 = 45,032/x
  3. Step 3: Cross multiply
    29,163x = 45,032 × 45,032
  4. Step 4: Simplify right side
    29,163x = 2,027,881,024
  5. Step 5: Solve for x
    x = 2,027,881,024/29,163
  6. Step 6: Final answer
    x = 69,536.09

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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.