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Finding the Third Proportional to 15,006 and 22,385

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Solution

The third proportional to 15,006 and 22,385 is: 33,392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,006 : 22,385 = 22,385 : x
  2. Step 2: Convert to fraction form
    15,006/22,385 = 22,385/x
  3. Step 3: Cross multiply
    15,006x = 22,385 × 22,385
  4. Step 4: Simplify right side
    15,006x = 501,088,225
  5. Step 5: Solve for x
    x = 501,088,225/15,006
  6. Step 6: Final answer
    x = 33,392.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.