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Finding the Third Proportional to 1,971.56 and 4,330.69

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Solution

The third proportional to 1,971.56 and 4,330.69 is: 9,512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.56 : 4,330.69 = 4,330.69 : x
  2. Step 2: Convert to fraction form
    1,971.56/4,330.69 = 4,330.69/x
  3. Step 3: Cross multiply
    1,971.56x = 4,330.69 × 4,330.69
  4. Step 4: Simplify right side
    1,971.56x = 18,754,854.22
  5. Step 5: Solve for x
    x = 18,754,854.22/1,971.56
  6. Step 6: Final answer
    x = 9,512.69

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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.