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Finding the Third Proportional to 29,897 and 46,905

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Solution

The third proportional to 29,897 and 46,905 is: 73,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,897 : 46,905 = 46,905 : x
  2. Step 2: Convert to fraction form
    29,897/46,905 = 46,905/x
  3. Step 3: Cross multiply
    29,897x = 46,905 × 46,905
  4. Step 4: Simplify right side
    29,897x = 2,200,079,025
  5. Step 5: Solve for x
    x = 2,200,079,025/29,897
  6. Step 6: Final answer
    x = 73,588.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.