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Finding the Third Proportional to 2,008.67 and 3,089.89

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Solution

The third proportional to 2,008.67 and 3,089.89 is: 4,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.67 : 3,089.89 = 3,089.89 : x
  2. Step 2: Convert to fraction form
    2,008.67/3,089.89 = 3,089.89/x
  3. Step 3: Cross multiply
    2,008.67x = 3,089.89 × 3,089.89
  4. Step 4: Simplify right side
    2,008.67x = 9,547,389.37
  5. Step 5: Solve for x
    x = 9,547,389.37/2,008.67
  6. Step 6: Final answer
    x = 4,753.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.