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Finding the Third Proportional to 25,706 and 35,020

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Solution

The third proportional to 25,706 and 35,020 is: 47,708.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,706 : 35,020 = 35,020 : x
  2. Step 2: Convert to fraction form
    25,706/35,020 = 35,020/x
  3. Step 3: Cross multiply
    25,706x = 35,020 × 35,020
  4. Step 4: Simplify right side
    25,706x = 1,226,400,400
  5. Step 5: Solve for x
    x = 1,226,400,400/25,706
  6. Step 6: Final answer
    x = 47,708.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.