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Finding the Third Proportional to 27,470 and 52,752

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Solution

The third proportional to 27,470 and 52,752 is: 101,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,470 : 52,752 = 52,752 : x
  2. Step 2: Convert to fraction form
    27,470/52,752 = 52,752/x
  3. Step 3: Cross multiply
    27,470x = 52,752 × 52,752
  4. Step 4: Simplify right side
    27,470x = 2,782,773,504
  5. Step 5: Solve for x
    x = 2,782,773,504/27,470
  6. Step 6: Final answer
    x = 101,302.28

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.