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Finding the Third Proportional to 4,695.19 and 6,324.19

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Solution

The third proportional to 4,695.19 and 6,324.19 is: 8,518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.19 : 6,324.19 = 6,324.19 : x
  2. Step 2: Convert to fraction form
    4,695.19/6,324.19 = 6,324.19/x
  3. Step 3: Cross multiply
    4,695.19x = 6,324.19 × 6,324.19
  4. Step 4: Simplify right side
    4,695.19x = 39,995,347.54
  5. Step 5: Solve for x
    x = 39,995,347.54/4,695.19
  6. Step 6: Final answer
    x = 8,518.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.