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Finding the Third Proportional to 29,742 and 45,582

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Solution

The third proportional to 29,742 and 45,582 is: 69,858.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,742 : 45,582 = 45,582 : x
  2. Step 2: Convert to fraction form
    29,742/45,582 = 45,582/x
  3. Step 3: Cross multiply
    29,742x = 45,582 × 45,582
  4. Step 4: Simplify right side
    29,742x = 2,077,718,724
  5. Step 5: Solve for x
    x = 2,077,718,724/29,742
  6. Step 6: Final answer
    x = 69,858.07

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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.