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Finding the Third Proportional to 46,460.46 and 73,844.47

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Solution

The third proportional to 46,460.46 and 73,844.47 is: 117,368.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,460.46 : 73,844.47 = 73,844.47 : x
  2. Step 2: Convert to fraction form
    46,460.46/73,844.47 = 73,844.47/x
  3. Step 3: Cross multiply
    46,460.46x = 73,844.47 × 73,844.47
  4. Step 4: Simplify right side
    46,460.46x = 5,453,006,141.88
  5. Step 5: Solve for x
    x = 5,453,006,141.88/46,460.46
  6. Step 6: Final answer
    x = 117,368.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.