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Finding the Third Proportional to 24,975.37 and 53,513.16

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Solution

The third proportional to 24,975.37 and 53,513.16 is: 114,659.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,975.37 : 53,513.16 = 53,513.16 : x
  2. Step 2: Convert to fraction form
    24,975.37/53,513.16 = 53,513.16/x
  3. Step 3: Cross multiply
    24,975.37x = 53,513.16 × 53,513.16
  4. Step 4: Simplify right side
    24,975.37x = 2,863,657,891.84
  5. Step 5: Solve for x
    x = 2,863,657,891.84/24,975.37
  6. Step 6: Final answer
    x = 114,659.28

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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.