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Finding the Third Proportional to 21,875 and 48,262

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Solution

The third proportional to 21,875 and 48,262 is: 106,478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,875 : 48,262 = 48,262 : x
  2. Step 2: Convert to fraction form
    21,875/48,262 = 48,262/x
  3. Step 3: Cross multiply
    21,875x = 48,262 × 48,262
  4. Step 4: Simplify right side
    21,875x = 2,329,220,644
  5. Step 5: Solve for x
    x = 2,329,220,644/21,875
  6. Step 6: Final answer
    x = 106,478.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.