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Finding the Third Proportional to 7,875.56 and 17,021.81

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Solution

The third proportional to 7,875.56 and 17,021.81 is: 36,790.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.56 : 17,021.81 = 17,021.81 : x
  2. Step 2: Convert to fraction form
    7,875.56/17,021.81 = 17,021.81/x
  3. Step 3: Cross multiply
    7,875.56x = 17,021.81 × 17,021.81
  4. Step 4: Simplify right side
    7,875.56x = 289,742,100.79
  5. Step 5: Solve for x
    x = 289,742,100.79/7,875.56
  6. Step 6: Final answer
    x = 36,790.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.