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Finding the Third Proportional to 4,871.39 and 10,597.08

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Solution

The third proportional to 4,871.39 and 10,597.08 is: 23,052.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.39 : 10,597.08 = 10,597.08 : x
  2. Step 2: Convert to fraction form
    4,871.39/10,597.08 = 10,597.08/x
  3. Step 3: Cross multiply
    4,871.39x = 10,597.08 × 10,597.08
  4. Step 4: Simplify right side
    4,871.39x = 112,298,064.79
  5. Step 5: Solve for x
    x = 112,298,064.79/4,871.39
  6. Step 6: Final answer
    x = 23,052.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.