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Finding the Third Proportional to 29,742 and 46,032

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Solution

The third proportional to 29,742 and 46,032 is: 71,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,742 : 46,032 = 46,032 : x
  2. Step 2: Convert to fraction form
    29,742/46,032 = 46,032/x
  3. Step 3: Cross multiply
    29,742x = 46,032 × 46,032
  4. Step 4: Simplify right side
    29,742x = 2,118,945,024
  5. Step 5: Solve for x
    x = 2,118,945,024/29,742
  6. Step 6: Final answer
    x = 71,244.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.