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Finding the Third Proportional to 23,388 and 35,774

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Solution

The third proportional to 23,388 and 35,774 is: 54,719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,388 : 35,774 = 35,774 : x
  2. Step 2: Convert to fraction form
    23,388/35,774 = 35,774/x
  3. Step 3: Cross multiply
    23,388x = 35,774 × 35,774
  4. Step 4: Simplify right side
    23,388x = 1,279,779,076
  5. Step 5: Solve for x
    x = 1,279,779,076/23,388
  6. Step 6: Final answer
    x = 54,719.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.