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Finding the Third Proportional to 24,020 and 48,712

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Solution

The third proportional to 24,020 and 48,712 is: 98,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,020 : 48,712 = 48,712 : x
  2. Step 2: Convert to fraction form
    24,020/48,712 = 48,712/x
  3. Step 3: Cross multiply
    24,020x = 48,712 × 48,712
  4. Step 4: Simplify right side
    24,020x = 2,372,858,944
  5. Step 5: Solve for x
    x = 2,372,858,944/24,020
  6. Step 6: Final answer
    x = 98,786.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.