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Finding the Third Proportional to 5,681.25 and 6,293.25

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Solution

The third proportional to 5,681.25 and 6,293.25 is: 6,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.25 : 6,293.25 = 6,293.25 : x
  2. Step 2: Convert to fraction form
    5,681.25/6,293.25 = 6,293.25/x
  3. Step 3: Cross multiply
    5,681.25x = 6,293.25 × 6,293.25
  4. Step 4: Simplify right side
    5,681.25x = 39,604,995.56
  5. Step 5: Solve for x
    x = 39,604,995.56/5,681.25
  6. Step 6: Final answer
    x = 6,971.18

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.