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Finding the Third Proportional to 1,922.17 and 4,151.88

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Solution

The third proportional to 1,922.17 and 4,151.88 is: 8,968.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.17 : 4,151.88 = 4,151.88 : x
  2. Step 2: Convert to fraction form
    1,922.17/4,151.88 = 4,151.88/x
  3. Step 3: Cross multiply
    1,922.17x = 4,151.88 × 4,151.88
  4. Step 4: Simplify right side
    1,922.17x = 17,238,130.89
  5. Step 5: Solve for x
    x = 17,238,130.89/1,922.17
  6. Step 6: Final answer
    x = 8,968.07

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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.