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Finding the Third Proportional to 29,080 and 46,122

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Solution

The third proportional to 29,080 and 46,122 is: 73,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,080 : 46,122 = 46,122 : x
  2. Step 2: Convert to fraction form
    29,080/46,122 = 46,122/x
  3. Step 3: Cross multiply
    29,080x = 46,122 × 46,122
  4. Step 4: Simplify right side
    29,080x = 2,127,238,884
  5. Step 5: Solve for x
    x = 2,127,238,884/29,080
  6. Step 6: Final answer
    x = 73,151.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.