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Finding the Third Proportional to 1,952.86 and 4,184.79

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Solution

The third proportional to 1,952.86 and 4,184.79 is: 8,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.86 : 4,184.79 = 4,184.79 : x
  2. Step 2: Convert to fraction form
    1,952.86/4,184.79 = 4,184.79/x
  3. Step 3: Cross multiply
    1,952.86x = 4,184.79 × 4,184.79
  4. Step 4: Simplify right side
    1,952.86x = 17,512,459.50
  5. Step 5: Solve for x
    x = 17,512,459.50/1,952.86
  6. Step 6: Final answer
    x = 8,967.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.