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Finding the Third Proportional to 23,309 and 35,656

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Solution

The third proportional to 23,309 and 35,656 is: 54,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,309 : 35,656 = 35,656 : x
  2. Step 2: Convert to fraction form
    23,309/35,656 = 35,656/x
  3. Step 3: Cross multiply
    23,309x = 35,656 × 35,656
  4. Step 4: Simplify right side
    23,309x = 1,271,350,336
  5. Step 5: Solve for x
    x = 1,271,350,336/23,309
  6. Step 6: Final answer
    x = 54,543.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.