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Finding the Third Proportional to 23,808 and 35,430

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Solution

The third proportional to 23,808 and 35,430 is: 52,725.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808 : 35,430 = 35,430 : x
  2. Step 2: Convert to fraction form
    23,808/35,430 = 35,430/x
  3. Step 3: Cross multiply
    23,808x = 35,430 × 35,430
  4. Step 4: Simplify right side
    23,808x = 1,255,284,900
  5. Step 5: Solve for x
    x = 1,255,284,900/23,808
  6. Step 6: Final answer
    x = 52,725.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.