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Finding the Third Proportional to 40,442.41 and 84,114.07

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Solution

The third proportional to 40,442.41 and 84,114.07 is: 174,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,442.41 : 84,114.07 = 84,114.07 : x
  2. Step 2: Convert to fraction form
    40,442.41/84,114.07 = 84,114.07/x
  3. Step 3: Cross multiply
    40,442.41x = 84,114.07 × 84,114.07
  4. Step 4: Simplify right side
    40,442.41x = 7,075,176,824.54
  5. Step 5: Solve for x
    x = 7,075,176,824.54/40,442.41
  6. Step 6: Final answer
    x = 174,944.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.