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Finding the Third Proportional to 6,461.25 and 9,098.25

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Solution

The third proportional to 6,461.25 and 9,098.25 is: 12,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.25 : 9,098.25 = 9,098.25 : x
  2. Step 2: Convert to fraction form
    6,461.25/9,098.25 = 9,098.25/x
  3. Step 3: Cross multiply
    6,461.25x = 9,098.25 × 9,098.25
  4. Step 4: Simplify right side
    6,461.25x = 82,778,153.06
  5. Step 5: Solve for x
    x = 82,778,153.06/6,461.25
  6. Step 6: Final answer
    x = 12,811.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.