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Finding the Third Proportional to 23,584 and 35,376

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Solution

The third proportional to 23,584 and 35,376 is: 53,064

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,584 : 35,376 = 35,376 : x
  2. Step 2: Convert to fraction form
    23,584/35,376 = 35,376/x
  3. Step 3: Cross multiply
    23,584x = 35,376 × 35,376
  4. Step 4: Simplify right side
    23,584x = 1,251,461,376
  5. Step 5: Solve for x
    x = 1,251,461,376/23,584
  6. Step 6: Final answer
    x = 53,064

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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.