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Finding the Third Proportional to 24,976.13 and 53,505.84

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Solution

The third proportional to 24,976.13 and 53,505.84 is: 114,624.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,976.13 : 53,505.84 = 53,505.84 : x
  2. Step 2: Convert to fraction form
    24,976.13/53,505.84 = 53,505.84/x
  3. Step 3: Cross multiply
    24,976.13x = 53,505.84 × 53,505.84
  4. Step 4: Simplify right side
    24,976.13x = 2,862,875,315.40
  5. Step 5: Solve for x
    x = 2,862,875,315.40/24,976.13
  6. Step 6: Final answer
    x = 114,624.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.