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Finding the Third Proportional to 28,548 and 42,664.50

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Solution

The third proportional to 28,548 and 42,664.50 is: 63,761.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,548 : 42,664.50 = 42,664.50 : x
  2. Step 2: Convert to fraction form
    28,548/42,664.50 = 42,664.50/x
  3. Step 3: Cross multiply
    28,548x = 42,664.50 × 42,664.50
  4. Step 4: Simplify right side
    28,548x = 1,820,259,560.25
  5. Step 5: Solve for x
    x = 1,820,259,560.25/28,548
  6. Step 6: Final answer
    x = 63,761.37

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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.