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Finding the Third Proportional to 7,688.81 and 16,557.19

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Solution

The third proportional to 7,688.81 and 16,557.19 is: 35,654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.81 : 16,557.19 = 16,557.19 : x
  2. Step 2: Convert to fraction form
    7,688.81/16,557.19 = 16,557.19/x
  3. Step 3: Cross multiply
    7,688.81x = 16,557.19 × 16,557.19
  4. Step 4: Simplify right side
    7,688.81x = 274,140,457.91
  5. Step 5: Solve for x
    x = 274,140,457.91/7,688.81
  6. Step 6: Final answer
    x = 35,654.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.