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Finding the Third Proportional to 4,360 and 10,294

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Solution

The third proportional to 4,360 and 10,294 is: 24,304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,360 : 10,294 = 10,294 : x
  2. Step 2: Convert to fraction form
    4,360/10,294 = 10,294/x
  3. Step 3: Cross multiply
    4,360x = 10,294 × 10,294
  4. Step 4: Simplify right side
    4,360x = 105,966,436
  5. Step 5: Solve for x
    x = 105,966,436/4,360
  6. Step 6: Final answer
    x = 24,304.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.