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Finding the Third Proportional to 15,886.13 and 27,894.38

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Solution

The third proportional to 15,886.13 and 27,894.38 is: 48,979.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886.13 : 27,894.38 = 27,894.38 : x
  2. Step 2: Convert to fraction form
    15,886.13/27,894.38 = 27,894.38/x
  3. Step 3: Cross multiply
    15,886.13x = 27,894.38 × 27,894.38
  4. Step 4: Simplify right side
    15,886.13x = 778,096,156.64
  5. Step 5: Solve for x
    x = 778,096,156.64/15,886.13
  6. Step 6: Final answer
    x = 48,979.61

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.