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Finding the Third Proportional to 32,080 and 47,148

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Solution

The third proportional to 32,080 and 47,148 is: 69,293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080 : 47,148 = 47,148 : x
  2. Step 2: Convert to fraction form
    32,080/47,148 = 47,148/x
  3. Step 3: Cross multiply
    32,080x = 47,148 × 47,148
  4. Step 4: Simplify right side
    32,080x = 2,222,933,904
  5. Step 5: Solve for x
    x = 2,222,933,904/32,080
  6. Step 6: Final answer
    x = 69,293.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.