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Finding the Third Proportional to 29,106 and 42,519

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Solution

The third proportional to 29,106 and 42,519 is: 62,113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,106 : 42,519 = 42,519 : x
  2. Step 2: Convert to fraction form
    29,106/42,519 = 42,519/x
  3. Step 3: Cross multiply
    29,106x = 42,519 × 42,519
  4. Step 4: Simplify right side
    29,106x = 1,807,865,361
  5. Step 5: Solve for x
    x = 1,807,865,361/29,106
  6. Step 6: Final answer
    x = 62,113.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.