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Finding the Third Proportional to 22,823 and 30,528

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Solution

The third proportional to 22,823 and 30,528 is: 40,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,823 : 30,528 = 30,528 : x
  2. Step 2: Convert to fraction form
    22,823/30,528 = 30,528/x
  3. Step 3: Cross multiply
    22,823x = 30,528 × 30,528
  4. Step 4: Simplify right side
    22,823x = 931,958,784
  5. Step 5: Solve for x
    x = 931,958,784/22,823
  6. Step 6: Final answer
    x = 40,834.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.