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Finding the Third Proportional to 9,739.50 and 14,894.50

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Solution

The third proportional to 9,739.50 and 14,894.50 is: 22,777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.50 : 14,894.50 = 14,894.50 : x
  2. Step 2: Convert to fraction form
    9,739.50/14,894.50 = 14,894.50/x
  3. Step 3: Cross multiply
    9,739.50x = 14,894.50 × 14,894.50
  4. Step 4: Simplify right side
    9,739.50x = 221,846,130.25
  5. Step 5: Solve for x
    x = 221,846,130.25/9,739.50
  6. Step 6: Final answer
    x = 22,777.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.