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Finding the Third Proportional to 4,038 and 4,294

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Solution

The third proportional to 4,038 and 4,294 is: 4,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038 : 4,294 = 4,294 : x
  2. Step 2: Convert to fraction form
    4,038/4,294 = 4,294/x
  3. Step 3: Cross multiply
    4,038x = 4,294 × 4,294
  4. Step 4: Simplify right side
    4,038x = 18,438,436
  5. Step 5: Solve for x
    x = 18,438,436/4,038
  6. Step 6: Final answer
    x = 4,566.23

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.