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Finding the Third Proportional to 6,617.25 and 9,743.63

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Solution

The third proportional to 6,617.25 and 9,743.63 is: 14,347.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.25 : 9,743.63 = 9,743.63 : x
  2. Step 2: Convert to fraction form
    6,617.25/9,743.63 = 9,743.63/x
  3. Step 3: Cross multiply
    6,617.25x = 9,743.63 × 9,743.63
  4. Step 4: Simplify right side
    6,617.25x = 94,938,228.14
  5. Step 5: Solve for x
    x = 94,938,228.14/6,617.25
  6. Step 6: Final answer
    x = 14,347.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.