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Finding the Third Proportional to 3,092.55 and 6,492.66

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Solution

The third proportional to 3,092.55 and 6,492.66 is: 13,630.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.55 : 6,492.66 = 6,492.66 : x
  2. Step 2: Convert to fraction form
    3,092.55/6,492.66 = 6,492.66/x
  3. Step 3: Cross multiply
    3,092.55x = 6,492.66 × 6,492.66
  4. Step 4: Simplify right side
    3,092.55x = 42,154,585.18
  5. Step 5: Solve for x
    x = 42,154,585.18/3,092.55
  6. Step 6: Final answer
    x = 13,630.99

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.