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Finding the Third Proportional to 4,307.06 and 9,459.56

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Solution

The third proportional to 4,307.06 and 9,459.56 is: 20,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.06 : 9,459.56 = 9,459.56 : x
  2. Step 2: Convert to fraction form
    4,307.06/9,459.56 = 9,459.56/x
  3. Step 3: Cross multiply
    4,307.06x = 9,459.56 × 9,459.56
  4. Step 4: Simplify right side
    4,307.06x = 89,483,322.69
  5. Step 5: Solve for x
    x = 89,483,322.69/4,307.06
  6. Step 6: Final answer
    x = 20,775.95

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