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Finding the Third Proportional to 29,503 and 46,739

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Solution

The third proportional to 29,503 and 46,739 is: 74,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,503 : 46,739 = 46,739 : x
  2. Step 2: Convert to fraction form
    29,503/46,739 = 46,739/x
  3. Step 3: Cross multiply
    29,503x = 46,739 × 46,739
  4. Step 4: Simplify right side
    29,503x = 2,184,534,121
  5. Step 5: Solve for x
    x = 2,184,534,121/29,503
  6. Step 6: Final answer
    x = 74,044.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.