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Finding the Third Proportional to 8,038.50 and 12,445.50

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Solution

The third proportional to 8,038.50 and 12,445.50 is: 19,268.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.50 : 12,445.50 = 12,445.50 : x
  2. Step 2: Convert to fraction form
    8,038.50/12,445.50 = 12,445.50/x
  3. Step 3: Cross multiply
    8,038.50x = 12,445.50 × 12,445.50
  4. Step 4: Simplify right side
    8,038.50x = 154,890,470.25
  5. Step 5: Solve for x
    x = 154,890,470.25/8,038.50
  6. Step 6: Final answer
    x = 19,268.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.