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Finding the Third Proportional to 35,307 and 73,491

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Solution

The third proportional to 35,307 and 73,491 is: 152,970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,307 : 73,491 = 73,491 : x
  2. Step 2: Convert to fraction form
    35,307/73,491 = 73,491/x
  3. Step 3: Cross multiply
    35,307x = 73,491 × 73,491
  4. Step 4: Simplify right side
    35,307x = 5,400,927,081
  5. Step 5: Solve for x
    x = 5,400,927,081/35,307
  6. Step 6: Final answer
    x = 152,970.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.