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Finding the Third Proportional to 47,497.56 and 74,121.84

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Solution

The third proportional to 47,497.56 and 74,121.84 is: 115,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,497.56 : 74,121.84 = 74,121.84 : x
  2. Step 2: Convert to fraction form
    47,497.56/74,121.84 = 74,121.84/x
  3. Step 3: Cross multiply
    47,497.56x = 74,121.84 × 74,121.84
  4. Step 4: Simplify right side
    47,497.56x = 5,494,047,720.90
  5. Step 5: Solve for x
    x = 5,494,047,720.90/47,497.56
  6. Step 6: Final answer
    x = 115,670.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.