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Finding the Third Proportional to 23,724 and 35,646

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Solution

The third proportional to 23,724 and 35,646 is: 53,559.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,724 : 35,646 = 35,646 : x
  2. Step 2: Convert to fraction form
    23,724/35,646 = 35,646/x
  3. Step 3: Cross multiply
    23,724x = 35,646 × 35,646
  4. Step 4: Simplify right side
    23,724x = 1,270,637,316
  5. Step 5: Solve for x
    x = 1,270,637,316/23,724
  6. Step 6: Final answer
    x = 53,559.15

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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.