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Finding the Third Proportional to 23,547.75 and 35,322

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Solution

The third proportional to 23,547.75 and 35,322 is: 52,983.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,547.75 : 35,322 = 35,322 : x
  2. Step 2: Convert to fraction form
    23,547.75/35,322 = 35,322/x
  3. Step 3: Cross multiply
    23,547.75x = 35,322 × 35,322
  4. Step 4: Simplify right side
    23,547.75x = 1,247,643,684
  5. Step 5: Solve for x
    x = 1,247,643,684/23,547.75
  6. Step 6: Final answer
    x = 52,983.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.