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Finding the Third Proportional to 3,506.91 and 5,210.16

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Solution

The third proportional to 3,506.91 and 5,210.16 is: 7,740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.91 : 5,210.16 = 5,210.16 : x
  2. Step 2: Convert to fraction form
    3,506.91/5,210.16 = 5,210.16/x
  3. Step 3: Cross multiply
    3,506.91x = 5,210.16 × 5,210.16
  4. Step 4: Simplify right side
    3,506.91x = 27,145,728.15
  5. Step 5: Solve for x
    x = 27,145,728.15/3,506.91
  6. Step 6: Final answer
    x = 7,740.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.