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Finding the Third Proportional to 20,056 and 43,952

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Solution

The third proportional to 20,056 and 43,952 is: 96,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,056 : 43,952 = 43,952 : x
  2. Step 2: Convert to fraction form
    20,056/43,952 = 43,952/x
  3. Step 3: Cross multiply
    20,056x = 43,952 × 43,952
  4. Step 4: Simplify right side
    20,056x = 1,931,778,304
  5. Step 5: Solve for x
    x = 1,931,778,304/20,056
  6. Step 6: Final answer
    x = 96,319.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.