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Finding the Third Proportional to 29,952 and 65,080

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Solution

The third proportional to 29,952 and 65,080 is: 141,406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,952 : 65,080 = 65,080 : x
  2. Step 2: Convert to fraction form
    29,952/65,080 = 65,080/x
  3. Step 3: Cross multiply
    29,952x = 65,080 × 65,080
  4. Step 4: Simplify right side
    29,952x = 4,235,406,400
  5. Step 5: Solve for x
    x = 4,235,406,400/29,952
  6. Step 6: Final answer
    x = 141,406.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.