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Finding the Third Proportional to 14,390 and 19,441

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Solution

The third proportional to 14,390 and 19,441 is: 26,264.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,390 : 19,441 = 19,441 : x
  2. Step 2: Convert to fraction form
    14,390/19,441 = 19,441/x
  3. Step 3: Cross multiply
    14,390x = 19,441 × 19,441
  4. Step 4: Simplify right side
    14,390x = 377,952,481
  5. Step 5: Solve for x
    x = 377,952,481/14,390
  6. Step 6: Final answer
    x = 26,264.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.