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Finding the Third Proportional to 23,672 and 35,569

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Solution

The third proportional to 23,672 and 35,569 is: 53,445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,672 : 35,569 = 35,569 : x
  2. Step 2: Convert to fraction form
    23,672/35,569 = 35,569/x
  3. Step 3: Cross multiply
    23,672x = 35,569 × 35,569
  4. Step 4: Simplify right side
    23,672x = 1,265,153,761
  5. Step 5: Solve for x
    x = 1,265,153,761/23,672
  6. Step 6: Final answer
    x = 53,445.16

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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.