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Finding the Third Proportional to 31,010 and 45,002

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Solution

The third proportional to 31,010 and 45,002 is: 65,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,010 : 45,002 = 45,002 : x
  2. Step 2: Convert to fraction form
    31,010/45,002 = 45,002/x
  3. Step 3: Cross multiply
    31,010x = 45,002 × 45,002
  4. Step 4: Simplify right side
    31,010x = 2,025,180,004
  5. Step 5: Solve for x
    x = 2,025,180,004/31,010
  6. Step 6: Final answer
    x = 65,307.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.