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Finding the Third Proportional to 7,897.50 and 12,206.25

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Solution

The third proportional to 7,897.50 and 12,206.25 is: 18,865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.50 : 12,206.25 = 12,206.25 : x
  2. Step 2: Convert to fraction form
    7,897.50/12,206.25 = 12,206.25/x
  3. Step 3: Cross multiply
    7,897.50x = 12,206.25 × 12,206.25
  4. Step 4: Simplify right side
    7,897.50x = 148,992,539.06
  5. Step 5: Solve for x
    x = 148,992,539.06/7,897.50
  6. Step 6: Final answer
    x = 18,865.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.