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Finding the Third Proportional to 46,130 and 58,944.50

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Solution

The third proportional to 46,130 and 58,944.50 is: 75,318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,130 : 58,944.50 = 58,944.50 : x
  2. Step 2: Convert to fraction form
    46,130/58,944.50 = 58,944.50/x
  3. Step 3: Cross multiply
    46,130x = 58,944.50 × 58,944.50
  4. Step 4: Simplify right side
    46,130x = 3,474,454,080.25
  5. Step 5: Solve for x
    x = 3,474,454,080.25/46,130
  6. Step 6: Final answer
    x = 75,318.75

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.