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Finding the Third Proportional to 6,237.50 and 9,420.88

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Solution

The third proportional to 6,237.50 and 9,420.88 is: 14,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237.50 : 9,420.88 = 9,420.88 : x
  2. Step 2: Convert to fraction form
    6,237.50/9,420.88 = 9,420.88/x
  3. Step 3: Cross multiply
    6,237.50x = 9,420.88 × 9,420.88
  4. Step 4: Simplify right side
    6,237.50x = 88,752,885.77
  5. Step 5: Solve for x
    x = 88,752,885.77/6,237.50
  6. Step 6: Final answer
    x = 14,228.92

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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.