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Finding the Third Proportional to 9,720.47 and 20,856.94

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Solution

The third proportional to 9,720.47 and 20,856.94 is: 44,752.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.47 : 20,856.94 = 20,856.94 : x
  2. Step 2: Convert to fraction form
    9,720.47/20,856.94 = 20,856.94/x
  3. Step 3: Cross multiply
    9,720.47x = 20,856.94 × 20,856.94
  4. Step 4: Simplify right side
    9,720.47x = 435,011,841.88
  5. Step 5: Solve for x
    x = 435,011,841.88/9,720.47
  6. Step 6: Final answer
    x = 44,752.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.