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Finding the Third Proportional to 15,825 and 24,602

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Solution

The third proportional to 15,825 and 24,602 is: 38,246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825 : 24,602 = 24,602 : x
  2. Step 2: Convert to fraction form
    15,825/24,602 = 24,602/x
  3. Step 3: Cross multiply
    15,825x = 24,602 × 24,602
  4. Step 4: Simplify right side
    15,825x = 605,258,404
  5. Step 5: Solve for x
    x = 605,258,404/15,825
  6. Step 6: Final answer
    x = 38,246.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.