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Finding the Third Proportional to 13,587.75 and 20,573.06

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Solution

The third proportional to 13,587.75 and 20,573.06 is: 31,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,587.75 : 20,573.06 = 20,573.06 : x
  2. Step 2: Convert to fraction form
    13,587.75/20,573.06 = 20,573.06/x
  3. Step 3: Cross multiply
    13,587.75x = 20,573.06 × 20,573.06
  4. Step 4: Simplify right side
    13,587.75x = 423,250,900.63
  5. Step 5: Solve for x
    x = 423,250,900.63/13,587.75
  6. Step 6: Final answer
    x = 31,149.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.