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Finding the Third Proportional to 2,053.16 and 2,925.97

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Solution

The third proportional to 2,053.16 and 2,925.97 is: 4,169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.16 : 2,925.97 = 2,925.97 : x
  2. Step 2: Convert to fraction form
    2,053.16/2,925.97 = 2,925.97/x
  3. Step 3: Cross multiply
    2,053.16x = 2,925.97 × 2,925.97
  4. Step 4: Simplify right side
    2,053.16x = 8,561,281.70
  5. Step 5: Solve for x
    x = 8,561,281.70/2,053.16
  6. Step 6: Final answer
    x = 4,169.81

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.