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Finding the Third Proportional to 34,946 and 74,596

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Solution

The third proportional to 34,946 and 74,596 is: 159,233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,946 : 74,596 = 74,596 : x
  2. Step 2: Convert to fraction form
    34,946/74,596 = 74,596/x
  3. Step 3: Cross multiply
    34,946x = 74,596 × 74,596
  4. Step 4: Simplify right side
    34,946x = 5,564,563,216
  5. Step 5: Solve for x
    x = 5,564,563,216/34,946
  6. Step 6: Final answer
    x = 159,233.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.