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Finding the Third Proportional to 24,700 and 35,706

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Solution

The third proportional to 24,700 and 35,706 is: 51,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,700 : 35,706 = 35,706 : x
  2. Step 2: Convert to fraction form
    24,700/35,706 = 35,706/x
  3. Step 3: Cross multiply
    24,700x = 35,706 × 35,706
  4. Step 4: Simplify right side
    24,700x = 1,274,918,436
  5. Step 5: Solve for x
    x = 1,274,918,436/24,700
  6. Step 6: Final answer
    x = 51,616.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.