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Finding the Third Proportional to 22,695.25 and 35,000

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Solution

The third proportional to 22,695.25 and 35,000 is: 53,976.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,695.25 : 35,000 = 35,000 : x
  2. Step 2: Convert to fraction form
    22,695.25/35,000 = 35,000/x
  3. Step 3: Cross multiply
    22,695.25x = 35,000 × 35,000
  4. Step 4: Simplify right side
    22,695.25x = 1,225,000,000
  5. Step 5: Solve for x
    x = 1,225,000,000/22,695.25
  6. Step 6: Final answer
    x = 53,976.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.