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Finding the Third Proportional to 28,514.50 and 42,614

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Solution

The third proportional to 28,514.50 and 42,614 is: 63,685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,514.50 : 42,614 = 42,614 : x
  2. Step 2: Convert to fraction form
    28,514.50/42,614 = 42,614/x
  3. Step 3: Cross multiply
    28,514.50x = 42,614 × 42,614
  4. Step 4: Simplify right side
    28,514.50x = 1,815,952,996
  5. Step 5: Solve for x
    x = 1,815,952,996/28,514.50
  6. Step 6: Final answer
    x = 63,685.25

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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.