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Finding the Third Proportional to 32,076 and 47,771

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Solution

The third proportional to 32,076 and 47,771 is: 71,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076 : 47,771 = 47,771 : x
  2. Step 2: Convert to fraction form
    32,076/47,771 = 47,771/x
  3. Step 3: Cross multiply
    32,076x = 47,771 × 47,771
  4. Step 4: Simplify right side
    32,076x = 2,282,068,441
  5. Step 5: Solve for x
    x = 2,282,068,441/32,076
  6. Step 6: Final answer
    x = 71,145.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.