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Finding the Third Proportional to 46,507.50 and 73,921.50

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Solution

The third proportional to 46,507.50 and 73,921.50 is: 117,494.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,507.50 : 73,921.50 = 73,921.50 : x
  2. Step 2: Convert to fraction form
    46,507.50/73,921.50 = 73,921.50/x
  3. Step 3: Cross multiply
    46,507.50x = 73,921.50 × 73,921.50
  4. Step 4: Simplify right side
    46,507.50x = 5,464,388,162.25
  5. Step 5: Solve for x
    x = 5,464,388,162.25/46,507.50
  6. Step 6: Final answer
    x = 117,494.77

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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.