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Finding the Third Proportional to 35,605.50 and 77,861

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Solution

The third proportional to 35,605.50 and 77,861 is: 170,264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,605.50 : 77,861 = 77,861 : x
  2. Step 2: Convert to fraction form
    35,605.50/77,861 = 77,861/x
  3. Step 3: Cross multiply
    35,605.50x = 77,861 × 77,861
  4. Step 4: Simplify right side
    35,605.50x = 6,062,335,321
  5. Step 5: Solve for x
    x = 6,062,335,321/35,605.50
  6. Step 6: Final answer
    x = 170,264.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.