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Finding the Third Proportional to 6,705.28 and 14,101.59

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Solution

The third proportional to 6,705.28 and 14,101.59 is: 29,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.28 : 14,101.59 = 14,101.59 : x
  2. Step 2: Convert to fraction form
    6,705.28/14,101.59 = 14,101.59/x
  3. Step 3: Cross multiply
    6,705.28x = 14,101.59 × 14,101.59
  4. Step 4: Simplify right side
    6,705.28x = 198,854,946.29
  5. Step 5: Solve for x
    x = 198,854,946.29/6,705.28
  6. Step 6: Final answer
    x = 29,656.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.