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Finding the Third Proportional to 6,295.50 and 9,740.25

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Solution

The third proportional to 6,295.50 and 9,740.25 is: 15,069.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.50 : 9,740.25 = 9,740.25 : x
  2. Step 2: Convert to fraction form
    6,295.50/9,740.25 = 9,740.25/x
  3. Step 3: Cross multiply
    6,295.50x = 9,740.25 × 9,740.25
  4. Step 4: Simplify right side
    6,295.50x = 94,872,470.06
  5. Step 5: Solve for x
    x = 94,872,470.06/6,295.50
  6. Step 6: Final answer
    x = 15,069.89

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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.