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Finding the Third Proportional to 2,167.78 and 3,095.76

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Solution

The third proportional to 2,167.78 and 3,095.76 is: 4,420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.78 : 3,095.76 = 3,095.76 : x
  2. Step 2: Convert to fraction form
    2,167.78/3,095.76 = 3,095.76/x
  3. Step 3: Cross multiply
    2,167.78x = 3,095.76 × 3,095.76
  4. Step 4: Simplify right side
    2,167.78x = 9,583,719.46
  5. Step 5: Solve for x
    x = 9,583,719.46/2,167.78
  6. Step 6: Final answer
    x = 4,420.99

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.