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Finding the Third Proportional to 4,346.16 and 6,209.16

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Solution

The third proportional to 4,346.16 and 6,209.16 is: 8,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.16 : 6,209.16 = 6,209.16 : x
  2. Step 2: Convert to fraction form
    4,346.16/6,209.16 = 6,209.16/x
  3. Step 3: Cross multiply
    4,346.16x = 6,209.16 × 6,209.16
  4. Step 4: Simplify right side
    4,346.16x = 38,553,621.34
  5. Step 5: Solve for x
    x = 38,553,621.34/4,346.16
  6. Step 6: Final answer
    x = 8,870.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.