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Finding the Third Proportional to 3,307.55 and 7,070.02

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Solution

The third proportional to 3,307.55 and 7,070.02 is: 15,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.55 : 7,070.02 = 7,070.02 : x
  2. Step 2: Convert to fraction form
    3,307.55/7,070.02 = 7,070.02/x
  3. Step 3: Cross multiply
    3,307.55x = 7,070.02 × 7,070.02
  4. Step 4: Simplify right side
    3,307.55x = 49,985,162.36
  5. Step 5: Solve for x
    x = 49,985,162.36/3,307.55
  6. Step 6: Final answer
    x = 15,112.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.