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Finding the Third Proportional to 42,889.50 and 66,278.25

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Solution

The third proportional to 42,889.50 and 66,278.25 is: 102,421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,889.50 : 66,278.25 = 66,278.25 : x
  2. Step 2: Convert to fraction form
    42,889.50/66,278.25 = 66,278.25/x
  3. Step 3: Cross multiply
    42,889.50x = 66,278.25 × 66,278.25
  4. Step 4: Simplify right side
    42,889.50x = 4,392,806,423.06
  5. Step 5: Solve for x
    x = 4,392,806,423.06/42,889.50
  6. Step 6: Final answer
    x = 102,421.49

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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.