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Finding the Third Proportional to 15,025 and 23,569

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Solution

The third proportional to 15,025 and 23,569 is: 36,971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,025 : 23,569 = 23,569 : x
  2. Step 2: Convert to fraction form
    15,025/23,569 = 23,569/x
  3. Step 3: Cross multiply
    15,025x = 23,569 × 23,569
  4. Step 4: Simplify right side
    15,025x = 555,497,761
  5. Step 5: Solve for x
    x = 555,497,761/15,025
  6. Step 6: Final answer
    x = 36,971.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.