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Finding the Third Proportional to 24,701 and 37,265

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Solution

The third proportional to 24,701 and 37,265 is: 56,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,701 : 37,265 = 37,265 : x
  2. Step 2: Convert to fraction form
    24,701/37,265 = 37,265/x
  3. Step 3: Cross multiply
    24,701x = 37,265 × 37,265
  4. Step 4: Simplify right side
    24,701x = 1,388,680,225
  5. Step 5: Solve for x
    x = 1,388,680,225/24,701
  6. Step 6: Final answer
    x = 56,219.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.