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Finding the Third Proportional to 1,931.97 and 4,176.69

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Solution

The third proportional to 1,931.97 and 4,176.69 is: 9,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.97 : 4,176.69 = 4,176.69 : x
  2. Step 2: Convert to fraction form
    1,931.97/4,176.69 = 4,176.69/x
  3. Step 3: Cross multiply
    1,931.97x = 4,176.69 × 4,176.69
  4. Step 4: Simplify right side
    1,931.97x = 17,444,718.47
  5. Step 5: Solve for x
    x = 17,444,718.47/1,931.97
  6. Step 6: Final answer
    x = 9,029.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.