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Finding the Third Proportional to 15,348 and 37,020

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Solution

The third proportional to 15,348 and 37,020 is: 89,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,348 : 37,020 = 37,020 : x
  2. Step 2: Convert to fraction form
    15,348/37,020 = 37,020/x
  3. Step 3: Cross multiply
    15,348x = 37,020 × 37,020
  4. Step 4: Simplify right side
    15,348x = 1,370,480,400
  5. Step 5: Solve for x
    x = 1,370,480,400/15,348
  6. Step 6: Final answer
    x = 89,293.75

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.