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Finding the Third Proportional to 9,875.67 and 14,804.96

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Solution

The third proportional to 9,875.67 and 14,804.96 is: 22,194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.67 : 14,804.96 = 14,804.96 : x
  2. Step 2: Convert to fraction form
    9,875.67/14,804.96 = 14,804.96/x
  3. Step 3: Cross multiply
    9,875.67x = 14,804.96 × 14,804.96
  4. Step 4: Simplify right side
    9,875.67x = 219,186,984.02
  5. Step 5: Solve for x
    x = 219,186,984.02/9,875.67
  6. Step 6: Final answer
    x = 22,194.64

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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.