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Finding the Third Proportional to 24,975.84 and 53,505.56

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Solution

The third proportional to 24,975.84 and 53,505.56 is: 114,624.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,975.84 : 53,505.56 = 53,505.56 : x
  2. Step 2: Convert to fraction form
    24,975.84/53,505.56 = 53,505.56/x
  3. Step 3: Cross multiply
    24,975.84x = 53,505.56 × 53,505.56
  4. Step 4: Simplify right side
    24,975.84x = 2,862,845,218.44
  5. Step 5: Solve for x
    x = 2,862,845,218.44/24,975.84
  6. Step 6: Final answer
    x = 114,624.56

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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.