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Finding the Third Proportional to 24,709 and 36,411

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Solution

The third proportional to 24,709 and 36,411 is: 53,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,709 : 36,411 = 36,411 : x
  2. Step 2: Convert to fraction form
    24,709/36,411 = 36,411/x
  3. Step 3: Cross multiply
    24,709x = 36,411 × 36,411
  4. Step 4: Simplify right side
    24,709x = 1,325,760,921
  5. Step 5: Solve for x
    x = 1,325,760,921/24,709
  6. Step 6: Final answer
    x = 53,654.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.