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Finding the Third Proportional to 12,056.98 and 18,857.18

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Solution

The third proportional to 12,056.98 and 18,857.18 is: 29,492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,056.98 : 18,857.18 = 18,857.18 : x
  2. Step 2: Convert to fraction form
    12,056.98/18,857.18 = 18,857.18/x
  3. Step 3: Cross multiply
    12,056.98x = 18,857.18 × 18,857.18
  4. Step 4: Simplify right side
    12,056.98x = 355,593,225.77
  5. Step 5: Solve for x
    x = 355,593,225.77/12,056.98
  6. Step 6: Final answer
    x = 29,492.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.