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Finding the Third Proportional to 34,579 and 70,426

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Solution

The third proportional to 34,579 and 70,426 is: 143,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,579 : 70,426 = 70,426 : x
  2. Step 2: Convert to fraction form
    34,579/70,426 = 70,426/x
  3. Step 3: Cross multiply
    34,579x = 70,426 × 70,426
  4. Step 4: Simplify right side
    34,579x = 4,959,821,476
  5. Step 5: Solve for x
    x = 4,959,821,476/34,579
  6. Step 6: Final answer
    x = 143,434.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.