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Finding the Third Proportional to 27,292 and 37,038

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Solution

The third proportional to 27,292 and 37,038 is: 50,264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,292 : 37,038 = 37,038 : x
  2. Step 2: Convert to fraction form
    27,292/37,038 = 37,038/x
  3. Step 3: Cross multiply
    27,292x = 37,038 × 37,038
  4. Step 4: Simplify right side
    27,292x = 1,371,813,444
  5. Step 5: Solve for x
    x = 1,371,813,444/27,292
  6. Step 6: Final answer
    x = 50,264.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.