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Finding the Third Proportional to 24,784 and 36,959

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Solution

The third proportional to 24,784 and 36,959 is: 55,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784 : 36,959 = 36,959 : x
  2. Step 2: Convert to fraction form
    24,784/36,959 = 36,959/x
  3. Step 3: Cross multiply
    24,784x = 36,959 × 36,959
  4. Step 4: Simplify right side
    24,784x = 1,365,967,681
  5. Step 5: Solve for x
    x = 1,365,967,681/24,784
  6. Step 6: Final answer
    x = 55,114.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.