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Finding the Third Proportional to 29,952 and 45,024

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Solution

The third proportional to 29,952 and 45,024 is: 67,680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,952 : 45,024 = 45,024 : x
  2. Step 2: Convert to fraction form
    29,952/45,024 = 45,024/x
  3. Step 3: Cross multiply
    29,952x = 45,024 × 45,024
  4. Step 4: Simplify right side
    29,952x = 2,027,160,576
  5. Step 5: Solve for x
    x = 2,027,160,576/29,952
  6. Step 6: Final answer
    x = 67,680.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.