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Finding the Third Proportional to 24,283 and 52,979

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Solution

The third proportional to 24,283 and 52,979 is: 115,585.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,283 : 52,979 = 52,979 : x
  2. Step 2: Convert to fraction form
    24,283/52,979 = 52,979/x
  3. Step 3: Cross multiply
    24,283x = 52,979 × 52,979
  4. Step 4: Simplify right side
    24,283x = 2,806,774,441
  5. Step 5: Solve for x
    x = 2,806,774,441/24,283
  6. Step 6: Final answer
    x = 115,585.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.