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Finding the Third Proportional to 32,224.50 and 65,358

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Solution

The third proportional to 32,224.50 and 65,358 is: 132,559.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,224.50 : 65,358 = 65,358 : x
  2. Step 2: Convert to fraction form
    32,224.50/65,358 = 65,358/x
  3. Step 3: Cross multiply
    32,224.50x = 65,358 × 65,358
  4. Step 4: Simplify right side
    32,224.50x = 4,271,668,164
  5. Step 5: Solve for x
    x = 4,271,668,164/32,224.50
  6. Step 6: Final answer
    x = 132,559.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.