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Finding the Third Proportional to 10,320 and 14,229

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Solution

The third proportional to 10,320 and 14,229 is: 19,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320 : 14,229 = 14,229 : x
  2. Step 2: Convert to fraction form
    10,320/14,229 = 14,229/x
  3. Step 3: Cross multiply
    10,320x = 14,229 × 14,229
  4. Step 4: Simplify right side
    10,320x = 202,464,441
  5. Step 5: Solve for x
    x = 202,464,441/10,320
  6. Step 6: Final answer
    x = 19,618.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.