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Finding the Third Proportional to 5,695.31 and 8,558.16

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Solution

The third proportional to 5,695.31 and 8,558.16 is: 12,860.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.31 : 8,558.16 = 8,558.16 : x
  2. Step 2: Convert to fraction form
    5,695.31/8,558.16 = 8,558.16/x
  3. Step 3: Cross multiply
    5,695.31x = 8,558.16 × 8,558.16
  4. Step 4: Simplify right side
    5,695.31x = 73,242,038.40
  5. Step 5: Solve for x
    x = 73,242,038.40/5,695.31
  6. Step 6: Final answer
    x = 12,860.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.