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Finding the Third Proportional to 13,029 and 28,085.25

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Solution

The third proportional to 13,029 and 28,085.25 is: 60,540.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029 : 28,085.25 = 28,085.25 : x
  2. Step 2: Convert to fraction form
    13,029/28,085.25 = 28,085.25/x
  3. Step 3: Cross multiply
    13,029x = 28,085.25 × 28,085.25
  4. Step 4: Simplify right side
    13,029x = 788,781,267.56
  5. Step 5: Solve for x
    x = 788,781,267.56/13,029
  6. Step 6: Final answer
    x = 60,540.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.