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Finding the Third Proportional to 32,068 and 47,128

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Solution

The third proportional to 32,068 and 47,128 is: 69,260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,068 : 47,128 = 47,128 : x
  2. Step 2: Convert to fraction form
    32,068/47,128 = 47,128/x
  3. Step 3: Cross multiply
    32,068x = 47,128 × 47,128
  4. Step 4: Simplify right side
    32,068x = 2,221,048,384
  5. Step 5: Solve for x
    x = 2,221,048,384/32,068
  6. Step 6: Final answer
    x = 69,260.58

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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.