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Finding the Third Proportional to 27,875 and 60,294

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Solution

The third proportional to 27,875 and 60,294 is: 130,416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,875 : 60,294 = 60,294 : x
  2. Step 2: Convert to fraction form
    27,875/60,294 = 60,294/x
  3. Step 3: Cross multiply
    27,875x = 60,294 × 60,294
  4. Step 4: Simplify right side
    27,875x = 3,635,366,436
  5. Step 5: Solve for x
    x = 3,635,366,436/27,875
  6. Step 6: Final answer
    x = 130,416.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.