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Finding the Third Proportional to 23,202 and 35,347

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Solution

The third proportional to 23,202 and 35,347 is: 53,849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,202 : 35,347 = 35,347 : x
  2. Step 2: Convert to fraction form
    23,202/35,347 = 35,347/x
  3. Step 3: Cross multiply
    23,202x = 35,347 × 35,347
  4. Step 4: Simplify right side
    23,202x = 1,249,410,409
  5. Step 5: Solve for x
    x = 1,249,410,409/23,202
  6. Step 6: Final answer
    x = 53,849.25

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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.