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Finding the Third Proportional to 32,969 and 72,290

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Solution

The third proportional to 32,969 and 72,290 is: 158,507.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969 : 72,290 = 72,290 : x
  2. Step 2: Convert to fraction form
    32,969/72,290 = 72,290/x
  3. Step 3: Cross multiply
    32,969x = 72,290 × 72,290
  4. Step 4: Simplify right side
    32,969x = 5,225,844,100
  5. Step 5: Solve for x
    x = 5,225,844,100/32,969
  6. Step 6: Final answer
    x = 158,507.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.