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Finding the Third Proportional to 6,981.19 and 15,056.44

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Solution

The third proportional to 6,981.19 and 15,056.44 is: 32,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.19 : 15,056.44 = 15,056.44 : x
  2. Step 2: Convert to fraction form
    6,981.19/15,056.44 = 15,056.44/x
  3. Step 3: Cross multiply
    6,981.19x = 15,056.44 × 15,056.44
  4. Step 4: Simplify right side
    6,981.19x = 226,696,310.19
  5. Step 5: Solve for x
    x = 226,696,310.19/6,981.19
  6. Step 6: Final answer
    x = 32,472.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.