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Finding the Third Proportional to 6,209.16 and 9,495.98

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Solution

The third proportional to 6,209.16 and 9,495.98 is: 14,522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.16 : 9,495.98 = 9,495.98 : x
  2. Step 2: Convert to fraction form
    6,209.16/9,495.98 = 9,495.98/x
  3. Step 3: Cross multiply
    6,209.16x = 9,495.98 × 9,495.98
  4. Step 4: Simplify right side
    6,209.16x = 90,173,719.25
  5. Step 5: Solve for x
    x = 90,173,719.25/6,209.16
  6. Step 6: Final answer
    x = 14,522.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.