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Finding the Third Proportional to 6,740 and 10,058

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Solution

The third proportional to 6,740 and 10,058 is: 15,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740 : 10,058 = 10,058 : x
  2. Step 2: Convert to fraction form
    6,740/10,058 = 10,058/x
  3. Step 3: Cross multiply
    6,740x = 10,058 × 10,058
  4. Step 4: Simplify right side
    6,740x = 101,163,364
  5. Step 5: Solve for x
    x = 101,163,364/6,740
  6. Step 6: Final answer
    x = 15,009.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.