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Finding the Third Proportional to 29,602 and 43,952

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Solution

The third proportional to 29,602 and 43,952 is: 65,258.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,602 : 43,952 = 43,952 : x
  2. Step 2: Convert to fraction form
    29,602/43,952 = 43,952/x
  3. Step 3: Cross multiply
    29,602x = 43,952 × 43,952
  4. Step 4: Simplify right side
    29,602x = 1,931,778,304
  5. Step 5: Solve for x
    x = 1,931,778,304/29,602
  6. Step 6: Final answer
    x = 65,258.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.