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Finding the Third Proportional to 4,300.85 and 6,510.74

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Solution

The third proportional to 4,300.85 and 6,510.74 is: 9,856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,300.85 : 6,510.74 = 6,510.74 : x
  2. Step 2: Convert to fraction form
    4,300.85/6,510.74 = 6,510.74/x
  3. Step 3: Cross multiply
    4,300.85x = 6,510.74 × 6,510.74
  4. Step 4: Simplify right side
    4,300.85x = 42,389,778.54
  5. Step 5: Solve for x
    x = 42,389,778.54/4,300.85
  6. Step 6: Final answer
    x = 9,856.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.