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Finding the Third Proportional to 8,775.84 and 19,191.94

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Solution

The third proportional to 8,775.84 and 19,191.94 is: 41,970.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,775.84 : 19,191.94 = 19,191.94 : x
  2. Step 2: Convert to fraction form
    8,775.84/19,191.94 = 19,191.94/x
  3. Step 3: Cross multiply
    8,775.84x = 19,191.94 × 19,191.94
  4. Step 4: Simplify right side
    8,775.84x = 368,330,465.00
  5. Step 5: Solve for x
    x = 368,330,465.00/8,775.84
  6. Step 6: Final answer
    x = 41,970.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.