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Finding the Third Proportional to 19,043 and 28,452

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Solution

The third proportional to 19,043 and 28,452 is: 42,509.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,043 : 28,452 = 28,452 : x
  2. Step 2: Convert to fraction form
    19,043/28,452 = 28,452/x
  3. Step 3: Cross multiply
    19,043x = 28,452 × 28,452
  4. Step 4: Simplify right side
    19,043x = 809,516,304
  5. Step 5: Solve for x
    x = 809,516,304/19,043
  6. Step 6: Final answer
    x = 42,509.91

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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.