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Finding the Third Proportional to 2,652 and 5,570.63

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Solution

The third proportional to 2,652 and 5,570.63 is: 11,701.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652 : 5,570.63 = 5,570.63 : x
  2. Step 2: Convert to fraction form
    2,652/5,570.63 = 5,570.63/x
  3. Step 3: Cross multiply
    2,652x = 5,570.63 × 5,570.63
  4. Step 4: Simplify right side
    2,652x = 31,031,862.89
  5. Step 5: Solve for x
    x = 31,031,862.89/2,652
  6. Step 6: Final answer
    x = 11,701.31

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