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Finding the Third Proportional to 1,925.44 and 4,159.69

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Solution

The third proportional to 1,925.44 and 4,159.69 is: 8,986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.44 : 4,159.69 = 4,159.69 : x
  2. Step 2: Convert to fraction form
    1,925.44/4,159.69 = 4,159.69/x
  3. Step 3: Cross multiply
    1,925.44x = 4,159.69 × 4,159.69
  4. Step 4: Simplify right side
    1,925.44x = 17,303,000.10
  5. Step 5: Solve for x
    x = 17,303,000.10/1,925.44
  6. Step 6: Final answer
    x = 8,986.53

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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.