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Finding the Third Proportional to 6,492.66 and 9,693.42

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Solution

The third proportional to 6,492.66 and 9,693.42 is: 14,472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.66 : 9,693.42 = 9,693.42 : x
  2. Step 2: Convert to fraction form
    6,492.66/9,693.42 = 9,693.42/x
  3. Step 3: Cross multiply
    6,492.66x = 9,693.42 × 9,693.42
  4. Step 4: Simplify right side
    6,492.66x = 93,962,427.65
  5. Step 5: Solve for x
    x = 93,962,427.65/6,492.66
  6. Step 6: Final answer
    x = 14,472.11

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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.