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Finding the Third Proportional to 48,106.41 and 74,008.69

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Solution

The third proportional to 48,106.41 and 74,008.69 is: 113,857.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,106.41 : 74,008.69 = 74,008.69 : x
  2. Step 2: Convert to fraction form
    48,106.41/74,008.69 = 74,008.69/x
  3. Step 3: Cross multiply
    48,106.41x = 74,008.69 × 74,008.69
  4. Step 4: Simplify right side
    48,106.41x = 5,477,285,825.47
  5. Step 5: Solve for x
    x = 5,477,285,825.47/48,106.41
  6. Step 6: Final answer
    x = 113,857.72

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.