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Finding the Third Proportional to 1,047.94 and 1,657.97

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Solution

The third proportional to 1,047.94 and 1,657.97 is: 2,623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.94 : 1,657.97 = 1,657.97 : x
  2. Step 2: Convert to fraction form
    1,047.94/1,657.97 = 1,657.97/x
  3. Step 3: Cross multiply
    1,047.94x = 1,657.97 × 1,657.97
  4. Step 4: Simplify right side
    1,047.94x = 2,748,860.38
  5. Step 5: Solve for x
    x = 2,748,860.38/1,047.94
  6. Step 6: Final answer
    x = 2,623.11

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.