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Finding the Third Proportional to 29,596 and 45,001

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Solution

The third proportional to 29,596 and 45,001 is: 68,424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,596 : 45,001 = 45,001 : x
  2. Step 2: Convert to fraction form
    29,596/45,001 = 45,001/x
  3. Step 3: Cross multiply
    29,596x = 45,001 × 45,001
  4. Step 4: Simplify right side
    29,596x = 2,025,090,001
  5. Step 5: Solve for x
    x = 2,025,090,001/29,596
  6. Step 6: Final answer
    x = 68,424.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.