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Finding the Third Proportional to 32,550 and 71,066

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Solution

The third proportional to 32,550 and 71,066 is: 155,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,550 : 71,066 = 71,066 : x
  2. Step 2: Convert to fraction form
    32,550/71,066 = 71,066/x
  3. Step 3: Cross multiply
    32,550x = 71,066 × 71,066
  4. Step 4: Simplify right side
    32,550x = 5,050,376,356
  5. Step 5: Solve for x
    x = 5,050,376,356/32,550
  6. Step 6: Final answer
    x = 155,157.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.