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Finding the Third Proportional to 7,570.13 and 16,583.06

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Solution

The third proportional to 7,570.13 and 16,583.06 is: 36,326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.13 : 16,583.06 = 16,583.06 : x
  2. Step 2: Convert to fraction form
    7,570.13/16,583.06 = 16,583.06/x
  3. Step 3: Cross multiply
    7,570.13x = 16,583.06 × 16,583.06
  4. Step 4: Simplify right side
    7,570.13x = 274,997,961.88
  5. Step 5: Solve for x
    x = 274,997,961.88/7,570.13
  6. Step 6: Final answer
    x = 36,326.74

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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.