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Finding the Third Proportional to 8,502.75 and 19,766.25

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Solution

The third proportional to 8,502.75 and 19,766.25 is: 45,950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.75 : 19,766.25 = 19,766.25 : x
  2. Step 2: Convert to fraction form
    8,502.75/19,766.25 = 19,766.25/x
  3. Step 3: Cross multiply
    8,502.75x = 19,766.25 × 19,766.25
  4. Step 4: Simplify right side
    8,502.75x = 390,704,639.06
  5. Step 5: Solve for x
    x = 390,704,639.06/8,502.75
  6. Step 6: Final answer
    x = 45,950.39

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.