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Finding the Third Proportional to 28,419 and 42,627.75

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Solution

The third proportional to 28,419 and 42,627.75 is: 63,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,419 : 42,627.75 = 42,627.75 : x
  2. Step 2: Convert to fraction form
    28,419/42,627.75 = 42,627.75/x
  3. Step 3: Cross multiply
    28,419x = 42,627.75 × 42,627.75
  4. Step 4: Simplify right side
    28,419x = 1,817,125,070.06
  5. Step 5: Solve for x
    x = 1,817,125,070.06/28,419
  6. Step 6: Final answer
    x = 63,940.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.