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Finding the Third Proportional to 10,725.75 and 25,903.13

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Solution

The third proportional to 10,725.75 and 25,903.13 is: 62,557.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.75 : 25,903.13 = 25,903.13 : x
  2. Step 2: Convert to fraction form
    10,725.75/25,903.13 = 25,903.13/x
  3. Step 3: Cross multiply
    10,725.75x = 25,903.13 × 25,903.13
  4. Step 4: Simplify right side
    10,725.75x = 670,971,884.77
  5. Step 5: Solve for x
    x = 670,971,884.77/10,725.75
  6. Step 6: Final answer
    x = 62,557.11

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.