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Finding the Third Proportional to 4,484.53 and 9,860.20

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Solution

The third proportional to 4,484.53 and 9,860.20 is: 21,679.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,484.53 : 9,860.20 = 9,860.20 : x
  2. Step 2: Convert to fraction form
    4,484.53/9,860.20 = 9,860.20/x
  3. Step 3: Cross multiply
    4,484.53x = 9,860.20 × 9,860.20
  4. Step 4: Simplify right side
    4,484.53x = 97,223,605.67
  5. Step 5: Solve for x
    x = 97,223,605.67/4,484.53
  6. Step 6: Final answer
    x = 21,679.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.