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Finding the Third Proportional to 35,025.50 and 77,827

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Solution

The third proportional to 35,025.50 and 77,827 is: 172,932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,025.50 : 77,827 = 77,827 : x
  2. Step 2: Convert to fraction form
    35,025.50/77,827 = 77,827/x
  3. Step 3: Cross multiply
    35,025.50x = 77,827 × 77,827
  4. Step 4: Simplify right side
    35,025.50x = 6,057,041,929
  5. Step 5: Solve for x
    x = 6,057,041,929/35,025.50
  6. Step 6: Final answer
    x = 172,932.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.