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Finding the Third Proportional to 30,523 and 45,754

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Solution

The third proportional to 30,523 and 45,754 is: 68,585.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,523 : 45,754 = 45,754 : x
  2. Step 2: Convert to fraction form
    30,523/45,754 = 45,754/x
  3. Step 3: Cross multiply
    30,523x = 45,754 × 45,754
  4. Step 4: Simplify right side
    30,523x = 2,093,428,516
  5. Step 5: Solve for x
    x = 2,093,428,516/30,523
  6. Step 6: Final answer
    x = 68,585.28

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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.