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Finding the Third Proportional to 3,492.84 and 7,601.06

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Solution

The third proportional to 3,492.84 and 7,601.06 is: 16,541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.84 : 7,601.06 = 7,601.06 : x
  2. Step 2: Convert to fraction form
    3,492.84/7,601.06 = 7,601.06/x
  3. Step 3: Cross multiply
    3,492.84x = 7,601.06 × 7,601.06
  4. Step 4: Simplify right side
    3,492.84x = 57,776,151.13
  5. Step 5: Solve for x
    x = 57,776,151.13/3,492.84
  6. Step 6: Final answer
    x = 16,541.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.