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Finding the Third Proportional to 5,307.75 and 5,780.25

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Solution

The third proportional to 5,307.75 and 5,780.25 is: 6,294.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.75 : 5,780.25 = 5,780.25 : x
  2. Step 2: Convert to fraction form
    5,307.75/5,780.25 = 5,780.25/x
  3. Step 3: Cross multiply
    5,307.75x = 5,780.25 × 5,780.25
  4. Step 4: Simplify right side
    5,307.75x = 33,411,290.06
  5. Step 5: Solve for x
    x = 33,411,290.06/5,307.75
  6. Step 6: Final answer
    x = 6,294.81

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.