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Finding the Third Proportional to 6,708.13 and 14,712.25

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Solution

The third proportional to 6,708.13 and 14,712.25 is: 32,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.13 : 14,712.25 = 14,712.25 : x
  2. Step 2: Convert to fraction form
    6,708.13/14,712.25 = 14,712.25/x
  3. Step 3: Cross multiply
    6,708.13x = 14,712.25 × 14,712.25
  4. Step 4: Simplify right side
    6,708.13x = 216,450,300.06
  5. Step 5: Solve for x
    x = 216,450,300.06/6,708.13
  6. Step 6: Final answer
    x = 32,266.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.