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Finding the Third Proportional to 3,487 and 8,178.50

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Solution

The third proportional to 3,487 and 8,178.50 is: 19,182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487 : 8,178.50 = 8,178.50 : x
  2. Step 2: Convert to fraction form
    3,487/8,178.50 = 8,178.50/x
  3. Step 3: Cross multiply
    3,487x = 8,178.50 × 8,178.50
  4. Step 4: Simplify right side
    3,487x = 66,887,862.25
  5. Step 5: Solve for x
    x = 66,887,862.25/3,487
  6. Step 6: Final answer
    x = 19,182.07

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.