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Finding the Third Proportional to 1,925.02 and 3,941.16

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Solution

The third proportional to 1,925.02 and 3,941.16 is: 8,068.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.02 : 3,941.16 = 3,941.16 : x
  2. Step 2: Convert to fraction form
    1,925.02/3,941.16 = 3,941.16/x
  3. Step 3: Cross multiply
    1,925.02x = 3,941.16 × 3,941.16
  4. Step 4: Simplify right side
    1,925.02x = 15,532,712.59
  5. Step 5: Solve for x
    x = 15,532,712.59/1,925.02
  6. Step 6: Final answer
    x = 8,068.88

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.