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Finding the Third Proportional to 23,875.13 and 52,340.81

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Solution

The third proportional to 23,875.13 and 52,340.81 is: 114,745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,875.13 : 52,340.81 = 52,340.81 : x
  2. Step 2: Convert to fraction form
    23,875.13/52,340.81 = 52,340.81/x
  3. Step 3: Cross multiply
    23,875.13x = 52,340.81 × 52,340.81
  4. Step 4: Simplify right side
    23,875.13x = 2,739,560,653.16
  5. Step 5: Solve for x
    x = 2,739,560,653.16/23,875.13
  6. Step 6: Final answer
    x = 114,745.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.