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Finding the Third Proportional to 24,478 and 53,330

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Solution

The third proportional to 24,478 and 53,330 is: 116,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,478 : 53,330 = 53,330 : x
  2. Step 2: Convert to fraction form
    24,478/53,330 = 53,330/x
  3. Step 3: Cross multiply
    24,478x = 53,330 × 53,330
  4. Step 4: Simplify right side
    24,478x = 2,844,088,900
  5. Step 5: Solve for x
    x = 2,844,088,900/24,478
  6. Step 6: Final answer
    x = 116,189.59

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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.