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Finding the Third Proportional to 29,235 and 45,351

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Solution

The third proportional to 29,235 and 45,351 is: 70,351.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,235 : 45,351 = 45,351 : x
  2. Step 2: Convert to fraction form
    29,235/45,351 = 45,351/x
  3. Step 3: Cross multiply
    29,235x = 45,351 × 45,351
  4. Step 4: Simplify right side
    29,235x = 2,056,713,201
  5. Step 5: Solve for x
    x = 2,056,713,201/29,235
  6. Step 6: Final answer
    x = 70,351.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.