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Finding the Third Proportional to 28,416 and 42,625

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Solution

The third proportional to 28,416 and 42,625 is: 63,939.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,416 : 42,625 = 42,625 : x
  2. Step 2: Convert to fraction form
    28,416/42,625 = 42,625/x
  3. Step 3: Cross multiply
    28,416x = 42,625 × 42,625
  4. Step 4: Simplify right side
    28,416x = 1,816,890,625
  5. Step 5: Solve for x
    x = 1,816,890,625/28,416
  6. Step 6: Final answer
    x = 63,939.00

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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.