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Finding the Third Proportional to 7,492.78 and 16,078.78

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Solution

The third proportional to 7,492.78 and 16,078.78 is: 34,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.78 : 16,078.78 = 16,078.78 : x
  2. Step 2: Convert to fraction form
    7,492.78/16,078.78 = 16,078.78/x
  3. Step 3: Cross multiply
    7,492.78x = 16,078.78 × 16,078.78
  4. Step 4: Simplify right side
    7,492.78x = 258,527,206.49
  5. Step 5: Solve for x
    x = 258,527,206.49/7,492.78
  6. Step 6: Final answer
    x = 34,503.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.