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Finding the Third Proportional to 35,713.50 and 77,578.50

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Solution

The third proportional to 35,713.50 and 77,578.50 is: 168,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,713.50 : 77,578.50 = 77,578.50 : x
  2. Step 2: Convert to fraction form
    35,713.50/77,578.50 = 77,578.50/x
  3. Step 3: Cross multiply
    35,713.50x = 77,578.50 × 77,578.50
  4. Step 4: Simplify right side
    35,713.50x = 6,018,423,662.25
  5. Step 5: Solve for x
    x = 6,018,423,662.25/35,713.50
  6. Step 6: Final answer
    x = 168,519.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.