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Finding the Third Proportional to 8,277.75 and 19,526.25

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Solution

The third proportional to 8,277.75 and 19,526.25 is: 46,060.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.75 : 19,526.25 = 19,526.25 : x
  2. Step 2: Convert to fraction form
    8,277.75/19,526.25 = 19,526.25/x
  3. Step 3: Cross multiply
    8,277.75x = 19,526.25 × 19,526.25
  4. Step 4: Simplify right side
    8,277.75x = 381,274,439.06
  5. Step 5: Solve for x
    x = 381,274,439.06/8,277.75
  6. Step 6: Final answer
    x = 46,060.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.