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Finding the Third Proportional to 34,672 and 74,888

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Solution

The third proportional to 34,672 and 74,888 is: 161,750.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,672 : 74,888 = 74,888 : x
  2. Step 2: Convert to fraction form
    34,672/74,888 = 74,888/x
  3. Step 3: Cross multiply
    34,672x = 74,888 × 74,888
  4. Step 4: Simplify right side
    34,672x = 5,608,212,544
  5. Step 5: Solve for x
    x = 5,608,212,544/34,672
  6. Step 6: Final answer
    x = 161,750.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.