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Finding the Third Proportional to 1,677.38 and 2,534.63

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Solution

The third proportional to 1,677.38 and 2,534.63 is: 3,829.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.38 : 2,534.63 = 2,534.63 : x
  2. Step 2: Convert to fraction form
    1,677.38/2,534.63 = 2,534.63/x
  3. Step 3: Cross multiply
    1,677.38x = 2,534.63 × 2,534.63
  4. Step 4: Simplify right side
    1,677.38x = 6,424,323.89
  5. Step 5: Solve for x
    x = 6,424,323.89/1,677.38
  6. Step 6: Final answer
    x = 3,829.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.