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Finding the Third Proportional to 28,466 and 45,475

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Solution

The third proportional to 28,466 and 45,475 is: 72,647.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,466 : 45,475 = 45,475 : x
  2. Step 2: Convert to fraction form
    28,466/45,475 = 45,475/x
  3. Step 3: Cross multiply
    28,466x = 45,475 × 45,475
  4. Step 4: Simplify right side
    28,466x = 2,067,975,625
  5. Step 5: Solve for x
    x = 2,067,975,625/28,466
  6. Step 6: Final answer
    x = 72,647.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.