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Finding the Third Proportional to 34,752 and 53,920

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Solution

The third proportional to 34,752 and 53,920 is: 83,660.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,752 : 53,920 = 53,920 : x
  2. Step 2: Convert to fraction form
    34,752/53,920 = 53,920/x
  3. Step 3: Cross multiply
    34,752x = 53,920 × 53,920
  4. Step 4: Simplify right side
    34,752x = 2,907,366,400
  5. Step 5: Solve for x
    x = 2,907,366,400/34,752
  6. Step 6: Final answer
    x = 83,660.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.