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Finding the Third Proportional to 34,610 and 74,768

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Solution

The third proportional to 34,610 and 74,768 is: 161,521.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,610 : 74,768 = 74,768 : x
  2. Step 2: Convert to fraction form
    34,610/74,768 = 74,768/x
  3. Step 3: Cross multiply
    34,610x = 74,768 × 74,768
  4. Step 4: Simplify right side
    34,610x = 5,590,253,824
  5. Step 5: Solve for x
    x = 5,590,253,824/34,610
  6. Step 6: Final answer
    x = 161,521.35

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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.