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Finding the Third Proportional to 40,284.84 and 86,853.52

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Solution

The third proportional to 40,284.84 and 86,853.52 is: 187,254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,284.84 : 86,853.52 = 86,853.52 : x
  2. Step 2: Convert to fraction form
    40,284.84/86,853.52 = 86,853.52/x
  3. Step 3: Cross multiply
    40,284.84x = 86,853.52 × 86,853.52
  4. Step 4: Simplify right side
    40,284.84x = 7,543,533,176.42
  5. Step 5: Solve for x
    x = 7,543,533,176.42/40,284.84
  6. Step 6: Final answer
    x = 187,254.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.