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Finding the Third Proportional to 29,629 and 45,543

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Solution

The third proportional to 29,629 and 45,543 is: 70,004.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,629 : 45,543 = 45,543 : x
  2. Step 2: Convert to fraction form
    29,629/45,543 = 45,543/x
  3. Step 3: Cross multiply
    29,629x = 45,543 × 45,543
  4. Step 4: Simplify right side
    29,629x = 2,074,164,849
  5. Step 5: Solve for x
    x = 2,074,164,849/29,629
  6. Step 6: Final answer
    x = 70,004.55

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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.