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Finding the Third Proportional to 10,697.06 and 16,078.50

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Solution

The third proportional to 10,697.06 and 16,078.50 is: 24,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.06 : 16,078.50 = 16,078.50 : x
  2. Step 2: Convert to fraction form
    10,697.06/16,078.50 = 16,078.50/x
  3. Step 3: Cross multiply
    10,697.06x = 16,078.50 × 16,078.50
  4. Step 4: Simplify right side
    10,697.06x = 258,518,162.25
  5. Step 5: Solve for x
    x = 258,518,162.25/10,697.06
  6. Step 6: Final answer
    x = 24,167.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.