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Finding the Third Proportional to 7,875.56 and 17,004.94

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Solution

The third proportional to 7,875.56 and 17,004.94 is: 36,717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.56 : 17,004.94 = 17,004.94 : x
  2. Step 2: Convert to fraction form
    7,875.56/17,004.94 = 17,004.94/x
  3. Step 3: Cross multiply
    7,875.56x = 17,004.94 × 17,004.94
  4. Step 4: Simplify right side
    7,875.56x = 289,167,899.38
  5. Step 5: Solve for x
    x = 289,167,899.38/7,875.56
  6. Step 6: Final answer
    x = 36,717.11

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