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Finding the Third Proportional to 21,175 and 31,129

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Solution

The third proportional to 21,175 and 31,129 is: 45,762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175 : 31,129 = 31,129 : x
  2. Step 2: Convert to fraction form
    21,175/31,129 = 31,129/x
  3. Step 3: Cross multiply
    21,175x = 31,129 × 31,129
  4. Step 4: Simplify right side
    21,175x = 969,014,641
  5. Step 5: Solve for x
    x = 969,014,641/21,175
  6. Step 6: Final answer
    x = 45,762.20

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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.