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Finding the Third Proportional to 12,357.51 and 25,591.62

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Solution

The third proportional to 12,357.51 and 25,591.62 is: 52,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.51 : 25,591.62 = 25,591.62 : x
  2. Step 2: Convert to fraction form
    12,357.51/25,591.62 = 25,591.62/x
  3. Step 3: Cross multiply
    12,357.51x = 25,591.62 × 25,591.62
  4. Step 4: Simplify right side
    12,357.51x = 654,931,170.17
  5. Step 5: Solve for x
    x = 654,931,170.17/12,357.51
  6. Step 6: Final answer
    x = 52,998.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.