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Finding the Third Proportional to 34,674 and 53,307

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Solution

The third proportional to 34,674 and 53,307 is: 81,952.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,674 : 53,307 = 53,307 : x
  2. Step 2: Convert to fraction form
    34,674/53,307 = 53,307/x
  3. Step 3: Cross multiply
    34,674x = 53,307 × 53,307
  4. Step 4: Simplify right side
    34,674x = 2,841,636,249
  5. Step 5: Solve for x
    x = 2,841,636,249/34,674
  6. Step 6: Final answer
    x = 81,952.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.