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Finding the Third Proportional to 37,672 and 59,640

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Solution

The third proportional to 37,672 and 59,640 is: 94,418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,672 : 59,640 = 59,640 : x
  2. Step 2: Convert to fraction form
    37,672/59,640 = 59,640/x
  3. Step 3: Cross multiply
    37,672x = 59,640 × 59,640
  4. Step 4: Simplify right side
    37,672x = 3,556,929,600
  5. Step 5: Solve for x
    x = 3,556,929,600/37,672
  6. Step 6: Final answer
    x = 94,418.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.