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Finding the Third Proportional to 29,345 and 43,905

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Solution

The third proportional to 29,345 and 43,905 is: 65,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,345 : 43,905 = 43,905 : x
  2. Step 2: Convert to fraction form
    29,345/43,905 = 43,905/x
  3. Step 3: Cross multiply
    29,345x = 43,905 × 43,905
  4. Step 4: Simplify right side
    29,345x = 1,927,649,025
  5. Step 5: Solve for x
    x = 1,927,649,025/29,345
  6. Step 6: Final answer
    x = 65,689.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.