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Finding the Third Proportional to 42,325.50 and 94,677

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Solution

The third proportional to 42,325.50 and 94,677 is: 211,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,325.50 : 94,677 = 94,677 : x
  2. Step 2: Convert to fraction form
    42,325.50/94,677 = 94,677/x
  3. Step 3: Cross multiply
    42,325.50x = 94,677 × 94,677
  4. Step 4: Simplify right side
    42,325.50x = 8,963,734,329
  5. Step 5: Solve for x
    x = 8,963,734,329/42,325.50
  6. Step 6: Final answer
    x = 211,780.94

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.