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Finding the Third Proportional to 10,278 and 22,185

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Solution

The third proportional to 10,278 and 22,185 is: 47,886.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278 : 22,185 = 22,185 : x
  2. Step 2: Convert to fraction form
    10,278/22,185 = 22,185/x
  3. Step 3: Cross multiply
    10,278x = 22,185 × 22,185
  4. Step 4: Simplify right side
    10,278x = 492,174,225
  5. Step 5: Solve for x
    x = 492,174,225/10,278
  6. Step 6: Final answer
    x = 47,886.19

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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.