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Finding the Third Proportional to 6,970.13 and 9,936.19

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Solution

The third proportional to 6,970.13 and 9,936.19 is: 14,164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.13 : 9,936.19 = 9,936.19 : x
  2. Step 2: Convert to fraction form
    6,970.13/9,936.19 = 9,936.19/x
  3. Step 3: Cross multiply
    6,970.13x = 9,936.19 × 9,936.19
  4. Step 4: Simplify right side
    6,970.13x = 98,727,822.04
  5. Step 5: Solve for x
    x = 98,727,822.04/6,970.13
  6. Step 6: Final answer
    x = 14,164.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.