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Finding the Third Proportional to 21,284 and 32,222

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Solution

The third proportional to 21,284 and 32,222 is: 48,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,284 : 32,222 = 32,222 : x
  2. Step 2: Convert to fraction form
    21,284/32,222 = 32,222/x
  3. Step 3: Cross multiply
    21,284x = 32,222 × 32,222
  4. Step 4: Simplify right side
    21,284x = 1,038,257,284
  5. Step 5: Solve for x
    x = 1,038,257,284/21,284
  6. Step 6: Final answer
    x = 48,781.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.