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Finding the Third Proportional to 16,294 and 24,009

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Solution

The third proportional to 16,294 and 24,009 is: 35,376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294 : 24,009 = 24,009 : x
  2. Step 2: Convert to fraction form
    16,294/24,009 = 24,009/x
  3. Step 3: Cross multiply
    16,294x = 24,009 × 24,009
  4. Step 4: Simplify right side
    16,294x = 576,432,081
  5. Step 5: Solve for x
    x = 576,432,081/16,294
  6. Step 6: Final answer
    x = 35,376.95

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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.