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Finding the Third Proportional to 5,113.50 and 6,153

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Solution

The third proportional to 5,113.50 and 6,153 is: 7,403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.50 : 6,153 = 6,153 : x
  2. Step 2: Convert to fraction form
    5,113.50/6,153 = 6,153/x
  3. Step 3: Cross multiply
    5,113.50x = 6,153 × 6,153
  4. Step 4: Simplify right side
    5,113.50x = 37,859,409
  5. Step 5: Solve for x
    x = 37,859,409/5,113.50
  6. Step 6: Final answer
    x = 7,403.82

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.