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Finding the Third Proportional to 45,982 and 70,309

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Solution

The third proportional to 45,982 and 70,309 is: 107,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,982 : 70,309 = 70,309 : x
  2. Step 2: Convert to fraction form
    45,982/70,309 = 70,309/x
  3. Step 3: Cross multiply
    45,982x = 70,309 × 70,309
  4. Step 4: Simplify right side
    45,982x = 4,943,355,481
  5. Step 5: Solve for x
    x = 4,943,355,481/45,982
  6. Step 6: Final answer
    x = 107,506.32

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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.