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Finding the Third Proportional to 46,010 and 69,452

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Solution

The third proportional to 46,010 and 69,452 is: 104,837.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,010 : 69,452 = 69,452 : x
  2. Step 2: Convert to fraction form
    46,010/69,452 = 69,452/x
  3. Step 3: Cross multiply
    46,010x = 69,452 × 69,452
  4. Step 4: Simplify right side
    46,010x = 4,823,580,304
  5. Step 5: Solve for x
    x = 4,823,580,304/46,010
  6. Step 6: Final answer
    x = 104,837.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.