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Finding the Third Proportional to 29,070 and 45,003

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Solution

The third proportional to 29,070 and 45,003 is: 69,668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,070 : 45,003 = 45,003 : x
  2. Step 2: Convert to fraction form
    29,070/45,003 = 45,003/x
  3. Step 3: Cross multiply
    29,070x = 45,003 × 45,003
  4. Step 4: Simplify right side
    29,070x = 2,025,270,009
  5. Step 5: Solve for x
    x = 2,025,270,009/29,070
  6. Step 6: Final answer
    x = 69,668.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.