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Finding the Third Proportional to 34,652.25 and 72,927

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Solution

The third proportional to 34,652.25 and 72,927 is: 153,477.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,652.25 : 72,927 = 72,927 : x
  2. Step 2: Convert to fraction form
    34,652.25/72,927 = 72,927/x
  3. Step 3: Cross multiply
    34,652.25x = 72,927 × 72,927
  4. Step 4: Simplify right side
    34,652.25x = 5,318,347,329
  5. Step 5: Solve for x
    x = 5,318,347,329/34,652.25
  6. Step 6: Final answer
    x = 153,477.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.