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Finding the Third Proportional to 23,264 and 35,440

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Solution

The third proportional to 23,264 and 35,440 is: 53,988.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,264 : 35,440 = 35,440 : x
  2. Step 2: Convert to fraction form
    23,264/35,440 = 35,440/x
  3. Step 3: Cross multiply
    23,264x = 35,440 × 35,440
  4. Step 4: Simplify right side
    23,264x = 1,255,993,600
  5. Step 5: Solve for x
    x = 1,255,993,600/23,264
  6. Step 6: Final answer
    x = 53,988.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.