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Finding the Third Proportional to 19,090.50 and 28,548

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Solution

The third proportional to 19,090.50 and 28,548 is: 42,690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,090.50 : 28,548 = 28,548 : x
  2. Step 2: Convert to fraction form
    19,090.50/28,548 = 28,548/x
  3. Step 3: Cross multiply
    19,090.50x = 28,548 × 28,548
  4. Step 4: Simplify right side
    19,090.50x = 814,988,304
  5. Step 5: Solve for x
    x = 814,988,304/19,090.50
  6. Step 6: Final answer
    x = 42,690.78

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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.