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Finding the Third Proportional to 27,752 and 60,430

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Solution

The third proportional to 27,752 and 60,430 is: 131,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,752 : 60,430 = 60,430 : x
  2. Step 2: Convert to fraction form
    27,752/60,430 = 60,430/x
  3. Step 3: Cross multiply
    27,752x = 60,430 × 60,430
  4. Step 4: Simplify right side
    27,752x = 3,651,784,900
  5. Step 5: Solve for x
    x = 3,651,784,900/27,752
  6. Step 6: Final answer
    x = 131,586.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.