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Finding the Third Proportional to 35,746 and 47,005

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Solution

The third proportional to 35,746 and 47,005 is: 61,810.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,746 : 47,005 = 47,005 : x
  2. Step 2: Convert to fraction form
    35,746/47,005 = 47,005/x
  3. Step 3: Cross multiply
    35,746x = 47,005 × 47,005
  4. Step 4: Simplify right side
    35,746x = 2,209,470,025
  5. Step 5: Solve for x
    x = 2,209,470,025/35,746
  6. Step 6: Final answer
    x = 61,810.27

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.