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Finding the Third Proportional to 7,320.38 and 15,965.86

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Solution

The third proportional to 7,320.38 and 15,965.86 is: 34,821.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,320.38 : 15,965.86 = 15,965.86 : x
  2. Step 2: Convert to fraction form
    7,320.38/15,965.86 = 15,965.86/x
  3. Step 3: Cross multiply
    7,320.38x = 15,965.86 × 15,965.86
  4. Step 4: Simplify right side
    7,320.38x = 254,908,665.58
  5. Step 5: Solve for x
    x = 254,908,665.58/7,320.38
  6. Step 6: Final answer
    x = 34,821.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.