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Finding the Third Proportional to 25,497.84 and 42,138.56

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Solution

The third proportional to 25,497.84 and 42,138.56 is: 69,639.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,497.84 : 42,138.56 = 42,138.56 : x
  2. Step 2: Convert to fraction form
    25,497.84/42,138.56 = 42,138.56/x
  3. Step 3: Cross multiply
    25,497.84x = 42,138.56 × 42,138.56
  4. Step 4: Simplify right side
    25,497.84x = 1,775,658,449.57
  5. Step 5: Solve for x
    x = 1,775,658,449.57/25,497.84
  6. Step 6: Final answer
    x = 69,639.55

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.