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Finding the Third Proportional to 49,598.34 and 74,509.64

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Solution

The third proportional to 49,598.34 and 74,509.64 is: 111,932.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,598.34 : 74,509.64 = 74,509.64 : x
  2. Step 2: Convert to fraction form
    49,598.34/74,509.64 = 74,509.64/x
  3. Step 3: Cross multiply
    49,598.34x = 74,509.64 × 74,509.64
  4. Step 4: Simplify right side
    49,598.34x = 5,551,686,109.49
  5. Step 5: Solve for x
    x = 5,551,686,109.49/49,598.34
  6. Step 6: Final answer
    x = 111,932.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.