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Finding the Third Proportional to 15,860 and 37,574

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Solution

The third proportional to 15,860 and 37,574 is: 89,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,860 : 37,574 = 37,574 : x
  2. Step 2: Convert to fraction form
    15,860/37,574 = 37,574/x
  3. Step 3: Cross multiply
    15,860x = 37,574 × 37,574
  4. Step 4: Simplify right side
    15,860x = 1,411,805,476
  5. Step 5: Solve for x
    x = 1,411,805,476/15,860
  6. Step 6: Final answer
    x = 89,016.74

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.