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Finding the Third Proportional to 45,982 and 70,310

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Solution

The third proportional to 45,982 and 70,310 is: 107,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,982 : 70,310 = 70,310 : x
  2. Step 2: Convert to fraction form
    45,982/70,310 = 70,310/x
  3. Step 3: Cross multiply
    45,982x = 70,310 × 70,310
  4. Step 4: Simplify right side
    45,982x = 4,943,496,100
  5. Step 5: Solve for x
    x = 4,943,496,100/45,982
  6. Step 6: Final answer
    x = 107,509.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.