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Finding the Third Proportional to 24,975.28 and 53,504.16

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Solution

The third proportional to 24,975.28 and 53,504.16 is: 114,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,975.28 : 53,504.16 = 53,504.16 : x
  2. Step 2: Convert to fraction form
    24,975.28/53,504.16 = 53,504.16/x
  3. Step 3: Cross multiply
    24,975.28x = 53,504.16 × 53,504.16
  4. Step 4: Simplify right side
    24,975.28x = 2,862,694,736.02
  5. Step 5: Solve for x
    x = 2,862,694,736.02/24,975.28
  6. Step 6: Final answer
    x = 114,621.12

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Why These Related Problems?

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