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Finding the Third Proportional to 21,186 and 31,130

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Solution

The third proportional to 21,186 and 31,130 is: 45,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,186 : 31,130 = 31,130 : x
  2. Step 2: Convert to fraction form
    21,186/31,130 = 31,130/x
  3. Step 3: Cross multiply
    21,186x = 31,130 × 31,130
  4. Step 4: Simplify right side
    21,186x = 969,076,900
  5. Step 5: Solve for x
    x = 969,076,900/21,186
  6. Step 6: Final answer
    x = 45,741.38

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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.