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Finding the Third Proportional to 1,501.78 and 3,153.42

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Solution

The third proportional to 1,501.78 and 3,153.42 is: 6,621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.78 : 3,153.42 = 3,153.42 : x
  2. Step 2: Convert to fraction form
    1,501.78/3,153.42 = 3,153.42/x
  3. Step 3: Cross multiply
    1,501.78x = 3,153.42 × 3,153.42
  4. Step 4: Simplify right side
    1,501.78x = 9,944,078.76
  5. Step 5: Solve for x
    x = 9,944,078.76/1,501.78
  6. Step 6: Final answer
    x = 6,621.52

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.