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Finding the Third Proportional to 15,762 and 23,644

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Solution

The third proportional to 15,762 and 23,644 is: 35,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762 : 23,644 = 23,644 : x
  2. Step 2: Convert to fraction form
    15,762/23,644 = 23,644/x
  3. Step 3: Cross multiply
    15,762x = 23,644 × 23,644
  4. Step 4: Simplify right side
    15,762x = 559,038,736
  5. Step 5: Solve for x
    x = 559,038,736/15,762
  6. Step 6: Final answer
    x = 35,467.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.