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Finding the Third Proportional to 13,970 and 30,130

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Solution

The third proportional to 13,970 and 30,130 is: 64,983.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970 : 30,130 = 30,130 : x
  2. Step 2: Convert to fraction form
    13,970/30,130 = 30,130/x
  3. Step 3: Cross multiply
    13,970x = 30,130 × 30,130
  4. Step 4: Simplify right side
    13,970x = 907,816,900
  5. Step 5: Solve for x
    x = 907,816,900/13,970
  6. Step 6: Final answer
    x = 64,983.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.