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Finding the Third Proportional to 8,058 and 12,865.50

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Solution

The third proportional to 8,058 and 12,865.50 is: 20,541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,058 : 12,865.50 = 12,865.50 : x
  2. Step 2: Convert to fraction form
    8,058/12,865.50 = 12,865.50/x
  3. Step 3: Cross multiply
    8,058x = 12,865.50 × 12,865.50
  4. Step 4: Simplify right side
    8,058x = 165,521,090.25
  5. Step 5: Solve for x
    x = 165,521,090.25/8,058
  6. Step 6: Final answer
    x = 20,541.21

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.