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Finding the Third Proportional to 8,862 and 19,185

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Solution

The third proportional to 8,862 and 19,185 is: 41,532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,862 : 19,185 = 19,185 : x
  2. Step 2: Convert to fraction form
    8,862/19,185 = 19,185/x
  3. Step 3: Cross multiply
    8,862x = 19,185 × 19,185
  4. Step 4: Simplify right side
    8,862x = 368,064,225
  5. Step 5: Solve for x
    x = 368,064,225/8,862
  6. Step 6: Final answer
    x = 41,532.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.