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Finding the Third Proportional to 6,853 and 10,570

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Solution

The third proportional to 6,853 and 10,570 is: 16,303.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853 : 10,570 = 10,570 : x
  2. Step 2: Convert to fraction form
    6,853/10,570 = 10,570/x
  3. Step 3: Cross multiply
    6,853x = 10,570 × 10,570
  4. Step 4: Simplify right side
    6,853x = 111,724,900
  5. Step 5: Solve for x
    x = 111,724,900/6,853
  6. Step 6: Final answer
    x = 16,303.06

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.