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Finding the Third Proportional to 59,826.75 and 92,625

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Solution

The third proportional to 59,826.75 and 92,625 is: 143,403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,826.75 : 92,625 = 92,625 : x
  2. Step 2: Convert to fraction form
    59,826.75/92,625 = 92,625/x
  3. Step 3: Cross multiply
    59,826.75x = 92,625 × 92,625
  4. Step 4: Simplify right side
    59,826.75x = 8,579,390,625
  5. Step 5: Solve for x
    x = 8,579,390,625/59,826.75
  6. Step 6: Final answer
    x = 143,403.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.