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Finding the Third Proportional to 30,732 and 46,122

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Solution

The third proportional to 30,732 and 46,122 is: 69,219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,732 : 46,122 = 46,122 : x
  2. Step 2: Convert to fraction form
    30,732/46,122 = 46,122/x
  3. Step 3: Cross multiply
    30,732x = 46,122 × 46,122
  4. Step 4: Simplify right side
    30,732x = 2,127,238,884
  5. Step 5: Solve for x
    x = 2,127,238,884/30,732
  6. Step 6: Final answer
    x = 69,219.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.