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Finding the Third Proportional to 14,292 and 17,460

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Solution

The third proportional to 14,292 and 17,460 is: 21,330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,292 : 17,460 = 17,460 : x
  2. Step 2: Convert to fraction form
    14,292/17,460 = 17,460/x
  3. Step 3: Cross multiply
    14,292x = 17,460 × 17,460
  4. Step 4: Simplify right side
    14,292x = 304,851,600
  5. Step 5: Solve for x
    x = 304,851,600/14,292
  6. Step 6: Final answer
    x = 21,330.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.