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Finding the Third Proportional to 23,530.50 and 50,473.13

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Solution

The third proportional to 23,530.50 and 50,473.13 is: 108,265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530.50 : 50,473.13 = 50,473.13 : x
  2. Step 2: Convert to fraction form
    23,530.50/50,473.13 = 50,473.13/x
  3. Step 3: Cross multiply
    23,530.50x = 50,473.13 × 50,473.13
  4. Step 4: Simplify right side
    23,530.50x = 2,547,536,347.27
  5. Step 5: Solve for x
    x = 2,547,536,347.27/23,530.50
  6. Step 6: Final answer
    x = 108,265.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.