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Finding the Third Proportional to 28,420 and 42,454

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Solution

The third proportional to 28,420 and 42,454 is: 63,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,420 : 42,454 = 42,454 : x
  2. Step 2: Convert to fraction form
    28,420/42,454 = 42,454/x
  3. Step 3: Cross multiply
    28,420x = 42,454 × 42,454
  4. Step 4: Simplify right side
    28,420x = 1,802,342,116
  5. Step 5: Solve for x
    x = 1,802,342,116/28,420
  6. Step 6: Final answer
    x = 63,418.09

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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.