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Finding the Third Proportional to 9,869.50 and 12,804.50

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Solution

The third proportional to 9,869.50 and 12,804.50 is: 16,612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.50 : 12,804.50 = 12,804.50 : x
  2. Step 2: Convert to fraction form
    9,869.50/12,804.50 = 12,804.50/x
  3. Step 3: Cross multiply
    9,869.50x = 12,804.50 × 12,804.50
  4. Step 4: Simplify right side
    9,869.50x = 163,955,220.25
  5. Step 5: Solve for x
    x = 163,955,220.25/9,869.50
  6. Step 6: Final answer
    x = 16,612.31

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.