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Finding the Third Proportional to 13,460 and 17,454

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Solution

The third proportional to 13,460 and 17,454 is: 22,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460 : 17,454 = 17,454 : x
  2. Step 2: Convert to fraction form
    13,460/17,454 = 17,454/x
  3. Step 3: Cross multiply
    13,460x = 17,454 × 17,454
  4. Step 4: Simplify right side
    13,460x = 304,642,116
  5. Step 5: Solve for x
    x = 304,642,116/13,460
  6. Step 6: Final answer
    x = 22,633.14

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.