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Finding the Third Proportional to 29,407 and 46,733

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Solution

The third proportional to 29,407 and 46,733 is: 74,267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,407 : 46,733 = 46,733 : x
  2. Step 2: Convert to fraction form
    29,407/46,733 = 46,733/x
  3. Step 3: Cross multiply
    29,407x = 46,733 × 46,733
  4. Step 4: Simplify right side
    29,407x = 2,183,973,289
  5. Step 5: Solve for x
    x = 2,183,973,289/29,407
  6. Step 6: Final answer
    x = 74,267.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.