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Finding the Third Proportional to 30,732 and 45,904

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Solution

The third proportional to 30,732 and 45,904 is: 68,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,732 : 45,904 = 45,904 : x
  2. Step 2: Convert to fraction form
    30,732/45,904 = 45,904/x
  3. Step 3: Cross multiply
    30,732x = 45,904 × 45,904
  4. Step 4: Simplify right side
    30,732x = 2,107,177,216
  5. Step 5: Solve for x
    x = 2,107,177,216/30,732
  6. Step 6: Final answer
    x = 68,566.22

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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.