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Finding the Third Proportional to 7,570.97 and 16,298.72

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Solution

The third proportional to 7,570.97 and 16,298.72 is: 35,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.97 : 16,298.72 = 16,298.72 : x
  2. Step 2: Convert to fraction form
    7,570.97/16,298.72 = 16,298.72/x
  3. Step 3: Cross multiply
    7,570.97x = 16,298.72 × 16,298.72
  4. Step 4: Simplify right side
    7,570.97x = 265,648,232.89
  5. Step 5: Solve for x
    x = 265,648,232.89/7,570.97
  6. Step 6: Final answer
    x = 35,087.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.