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Finding the Third Proportional to 24,020 and 49,230

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Solution

The third proportional to 24,020 and 49,230 is: 100,898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,020 : 49,230 = 49,230 : x
  2. Step 2: Convert to fraction form
    24,020/49,230 = 49,230/x
  3. Step 3: Cross multiply
    24,020x = 49,230 × 49,230
  4. Step 4: Simplify right side
    24,020x = 2,423,592,900
  5. Step 5: Solve for x
    x = 2,423,592,900/24,020
  6. Step 6: Final answer
    x = 100,898.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.