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Finding the Third Proportional to 19,466 and 28,509

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Solution

The third proportional to 19,466 and 28,509 is: 41,752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,466 : 28,509 = 28,509 : x
  2. Step 2: Convert to fraction form
    19,466/28,509 = 28,509/x
  3. Step 3: Cross multiply
    19,466x = 28,509 × 28,509
  4. Step 4: Simplify right side
    19,466x = 812,763,081
  5. Step 5: Solve for x
    x = 812,763,081/19,466
  6. Step 6: Final answer
    x = 41,752.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.