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Finding the Third Proportional to 24,228 and 53,082

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Solution

The third proportional to 24,228 and 53,082 is: 116,299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,228 : 53,082 = 53,082 : x
  2. Step 2: Convert to fraction form
    24,228/53,082 = 53,082/x
  3. Step 3: Cross multiply
    24,228x = 53,082 × 53,082
  4. Step 4: Simplify right side
    24,228x = 2,817,698,724
  5. Step 5: Solve for x
    x = 2,817,698,724/24,228
  6. Step 6: Final answer
    x = 116,299.27

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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.