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Finding the Third Proportional to 42,610 and 66,697

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Solution

The third proportional to 42,610 and 66,697 is: 104,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,610 : 66,697 = 66,697 : x
  2. Step 2: Convert to fraction form
    42,610/66,697 = 66,697/x
  3. Step 3: Cross multiply
    42,610x = 66,697 × 66,697
  4. Step 4: Simplify right side
    42,610x = 4,448,489,809
  5. Step 5: Solve for x
    x = 4,448,489,809/42,610
  6. Step 6: Final answer
    x = 104,400.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.