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Finding the Third Proportional to 23,530.50 and 46,342.13

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Solution

The third proportional to 23,530.50 and 46,342.13 is: 91,268.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530.50 : 46,342.13 = 46,342.13 : x
  2. Step 2: Convert to fraction form
    23,530.50/46,342.13 = 46,342.13/x
  3. Step 3: Cross multiply
    23,530.50x = 46,342.13 × 46,342.13
  4. Step 4: Simplify right side
    23,530.50x = 2,147,592,549.52
  5. Step 5: Solve for x
    x = 2,147,592,549.52/23,530.50
  6. Step 6: Final answer
    x = 91,268.46

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.