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Finding the Third Proportional to 4,113 and 6,061.50

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Solution

The third proportional to 4,113 and 6,061.50 is: 8,933.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113 : 6,061.50 = 6,061.50 : x
  2. Step 2: Convert to fraction form
    4,113/6,061.50 = 6,061.50/x
  3. Step 3: Cross multiply
    4,113x = 6,061.50 × 6,061.50
  4. Step 4: Simplify right side
    4,113x = 36,741,782.25
  5. Step 5: Solve for x
    x = 36,741,782.25/4,113
  6. Step 6: Final answer
    x = 8,933.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.