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Finding the Third Proportional to 14,407 and 19,229

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Solution

The third proportional to 14,407 and 19,229 is: 25,664.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407 : 19,229 = 19,229 : x
  2. Step 2: Convert to fraction form
    14,407/19,229 = 19,229/x
  3. Step 3: Cross multiply
    14,407x = 19,229 × 19,229
  4. Step 4: Simplify right side
    14,407x = 369,754,441
  5. Step 5: Solve for x
    x = 369,754,441/14,407
  6. Step 6: Final answer
    x = 25,664.92

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.