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Finding the Third Proportional to 35,519 and 76,572

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Solution

The third proportional to 35,519 and 76,572 is: 165,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,519 : 76,572 = 76,572 : x
  2. Step 2: Convert to fraction form
    35,519/76,572 = 76,572/x
  3. Step 3: Cross multiply
    35,519x = 76,572 × 76,572
  4. Step 4: Simplify right side
    35,519x = 5,863,271,184
  5. Step 5: Solve for x
    x = 5,863,271,184/35,519
  6. Step 6: Final answer
    x = 165,074.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.