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Finding the Third Proportional to 1,389.94 and 3,001.78

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Solution

The third proportional to 1,389.94 and 3,001.78 is: 6,482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.94 : 3,001.78 = 3,001.78 : x
  2. Step 2: Convert to fraction form
    1,389.94/3,001.78 = 3,001.78/x
  3. Step 3: Cross multiply
    1,389.94x = 3,001.78 × 3,001.78
  4. Step 4: Simplify right side
    1,389.94x = 9,010,690.67
  5. Step 5: Solve for x
    x = 9,010,690.67/1,389.94
  6. Step 6: Final answer
    x = 6,482.80

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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.