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Finding the Third Proportional to 7,773.75 and 12,363.75

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Solution

The third proportional to 7,773.75 and 12,363.75 is: 19,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.75 : 12,363.75 = 12,363.75 : x
  2. Step 2: Convert to fraction form
    7,773.75/12,363.75 = 12,363.75/x
  3. Step 3: Cross multiply
    7,773.75x = 12,363.75 × 12,363.75
  4. Step 4: Simplify right side
    7,773.75x = 152,862,314.06
  5. Step 5: Solve for x
    x = 152,862,314.06/7,773.75
  6. Step 6: Final answer
    x = 19,663.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.