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Finding the Third Proportional to 2,119.61 and 4,596.12

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Solution

The third proportional to 2,119.61 and 4,596.12 is: 9,966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.61 : 4,596.12 = 4,596.12 : x
  2. Step 2: Convert to fraction form
    2,119.61/4,596.12 = 4,596.12/x
  3. Step 3: Cross multiply
    2,119.61x = 4,596.12 × 4,596.12
  4. Step 4: Simplify right side
    2,119.61x = 21,124,293.20
  5. Step 5: Solve for x
    x = 21,124,293.20/2,119.61
  6. Step 6: Final answer
    x = 9,966.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.