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Finding the Third Proportional to 24,306 and 52,986

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Solution

The third proportional to 24,306 and 52,986 is: 115,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,306 : 52,986 = 52,986 : x
  2. Step 2: Convert to fraction form
    24,306/52,986 = 52,986/x
  3. Step 3: Cross multiply
    24,306x = 52,986 × 52,986
  4. Step 4: Simplify right side
    24,306x = 2,807,516,196
  5. Step 5: Solve for x
    x = 2,807,516,196/24,306
  6. Step 6: Final answer
    x = 115,507.13

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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.