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Finding the Third Proportional to 47,032 and 69,043

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Solution

The third proportional to 47,032 and 69,043 is: 101,355.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,032 : 69,043 = 69,043 : x
  2. Step 2: Convert to fraction form
    47,032/69,043 = 69,043/x
  3. Step 3: Cross multiply
    47,032x = 69,043 × 69,043
  4. Step 4: Simplify right side
    47,032x = 4,766,935,849
  5. Step 5: Solve for x
    x = 4,766,935,849/47,032
  6. Step 6: Final answer
    x = 101,355.16

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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.