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Finding the Third Proportional to 15,886 and 34,904

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Solution

The third proportional to 15,886 and 34,904 is: 76,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886 : 34,904 = 34,904 : x
  2. Step 2: Convert to fraction form
    15,886/34,904 = 34,904/x
  3. Step 3: Cross multiply
    15,886x = 34,904 × 34,904
  4. Step 4: Simplify right side
    15,886x = 1,218,289,216
  5. Step 5: Solve for x
    x = 1,218,289,216/15,886
  6. Step 6: Final answer
    x = 76,689.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.