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Finding the Third Proportional to 29,003 and 45,959

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Solution

The third proportional to 29,003 and 45,959 is: 72,827.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,003 : 45,959 = 45,959 : x
  2. Step 2: Convert to fraction form
    29,003/45,959 = 45,959/x
  3. Step 3: Cross multiply
    29,003x = 45,959 × 45,959
  4. Step 4: Simplify right side
    29,003x = 2,112,229,681
  5. Step 5: Solve for x
    x = 2,112,229,681/29,003
  6. Step 6: Final answer
    x = 72,827.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.