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Finding the Third Proportional to 21,312 and 32,268

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Solution

The third proportional to 21,312 and 32,268 is: 48,856.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,312 : 32,268 = 32,268 : x
  2. Step 2: Convert to fraction form
    21,312/32,268 = 32,268/x
  3. Step 3: Cross multiply
    21,312x = 32,268 × 32,268
  4. Step 4: Simplify right side
    21,312x = 1,041,223,824
  5. Step 5: Solve for x
    x = 1,041,223,824/21,312
  6. Step 6: Final answer
    x = 48,856.22

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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.