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Finding the Third Proportional to 24,535.13 and 52,989.75

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Solution

The third proportional to 24,535.13 and 52,989.75 is: 114,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,535.13 : 52,989.75 = 52,989.75 : x
  2. Step 2: Convert to fraction form
    24,535.13/52,989.75 = 52,989.75/x
  3. Step 3: Cross multiply
    24,535.13x = 52,989.75 × 52,989.75
  4. Step 4: Simplify right side
    24,535.13x = 2,807,913,605.06
  5. Step 5: Solve for x
    x = 2,807,913,605.06/24,535.13
  6. Step 6: Final answer
    x = 114,444.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.