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Finding the Third Proportional to 24,411 and 53,034

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Solution

The third proportional to 24,411 and 53,034 is: 115,218.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,411 : 53,034 = 53,034 : x
  2. Step 2: Convert to fraction form
    24,411/53,034 = 53,034/x
  3. Step 3: Cross multiply
    24,411x = 53,034 × 53,034
  4. Step 4: Simplify right side
    24,411x = 2,812,605,156
  5. Step 5: Solve for x
    x = 2,812,605,156/24,411
  6. Step 6: Final answer
    x = 115,218.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.