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Finding the Third Proportional to 16,624.50 and 39,117

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Solution

The third proportional to 16,624.50 and 39,117 is: 92,041.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,624.50 : 39,117 = 39,117 : x
  2. Step 2: Convert to fraction form
    16,624.50/39,117 = 39,117/x
  3. Step 3: Cross multiply
    16,624.50x = 39,117 × 39,117
  4. Step 4: Simplify right side
    16,624.50x = 1,530,139,689
  5. Step 5: Solve for x
    x = 1,530,139,689/16,624.50
  6. Step 6: Final answer
    x = 92,041.25

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.