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Finding the Third Proportional to 44,700 and 59,625

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Solution

The third proportional to 44,700 and 59,625 is: 79,533.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,700 : 59,625 = 59,625 : x
  2. Step 2: Convert to fraction form
    44,700/59,625 = 59,625/x
  3. Step 3: Cross multiply
    44,700x = 59,625 × 59,625
  4. Step 4: Simplify right side
    44,700x = 3,555,140,625
  5. Step 5: Solve for x
    x = 3,555,140,625/44,700
  6. Step 6: Final answer
    x = 79,533.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.