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Finding the Third Proportional to 20,653.50 and 32,229

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Solution

The third proportional to 20,653.50 and 32,229 is: 50,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,653.50 : 32,229 = 32,229 : x
  2. Step 2: Convert to fraction form
    20,653.50/32,229 = 32,229/x
  3. Step 3: Cross multiply
    20,653.50x = 32,229 × 32,229
  4. Step 4: Simplify right side
    20,653.50x = 1,038,708,441
  5. Step 5: Solve for x
    x = 1,038,708,441/20,653.50
  6. Step 6: Final answer
    x = 50,292.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.