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Finding the Third Proportional to 11,574 and 24,602

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Solution

The third proportional to 11,574 and 24,602 is: 52,294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574 : 24,602 = 24,602 : x
  2. Step 2: Convert to fraction form
    11,574/24,602 = 24,602/x
  3. Step 3: Cross multiply
    11,574x = 24,602 × 24,602
  4. Step 4: Simplify right side
    11,574x = 605,258,404
  5. Step 5: Solve for x
    x = 605,258,404/11,574
  6. Step 6: Final answer
    x = 52,294.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.