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Finding the Third Proportional to 5,230.50 and 6,184.50

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Solution

The third proportional to 5,230.50 and 6,184.50 is: 7,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.50 : 6,184.50 = 6,184.50 : x
  2. Step 2: Convert to fraction form
    5,230.50/6,184.50 = 6,184.50/x
  3. Step 3: Cross multiply
    5,230.50x = 6,184.50 × 6,184.50
  4. Step 4: Simplify right side
    5,230.50x = 38,248,040.25
  5. Step 5: Solve for x
    x = 38,248,040.25/5,230.50
  6. Step 6: Final answer
    x = 7,312.50

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.