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Finding the Third Proportional to 21,216 and 44,565

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Solution

The third proportional to 21,216 and 44,565 is: 93,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,216 : 44,565 = 44,565 : x
  2. Step 2: Convert to fraction form
    21,216/44,565 = 44,565/x
  3. Step 3: Cross multiply
    21,216x = 44,565 × 44,565
  4. Step 4: Simplify right side
    21,216x = 1,986,039,225
  5. Step 5: Solve for x
    x = 1,986,039,225/21,216
  6. Step 6: Final answer
    x = 93,610.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.