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Finding the Third Proportional to 4,563.84 and 9,856.69

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Solution

The third proportional to 4,563.84 and 9,856.69 is: 21,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.84 : 9,856.69 = 9,856.69 : x
  2. Step 2: Convert to fraction form
    4,563.84/9,856.69 = 9,856.69/x
  3. Step 3: Cross multiply
    4,563.84x = 9,856.69 × 9,856.69
  4. Step 4: Simplify right side
    4,563.84x = 97,154,288.47
  5. Step 5: Solve for x
    x = 97,154,288.47/4,563.84
  6. Step 6: Final answer
    x = 21,287.82

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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.