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Finding the Third Proportional to 31,008 and 45,504

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Solution

The third proportional to 31,008 and 45,504 is: 66,776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,008 : 45,504 = 45,504 : x
  2. Step 2: Convert to fraction form
    31,008/45,504 = 45,504/x
  3. Step 3: Cross multiply
    31,008x = 45,504 × 45,504
  4. Step 4: Simplify right side
    31,008x = 2,070,614,016
  5. Step 5: Solve for x
    x = 2,070,614,016/31,008
  6. Step 6: Final answer
    x = 66,776.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.