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Finding the Third Proportional to 9,035.61 and 13,401.07

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Solution

The third proportional to 9,035.61 and 13,401.07 is: 19,875.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.61 : 13,401.07 = 13,401.07 : x
  2. Step 2: Convert to fraction form
    9,035.61/13,401.07 = 13,401.07/x
  3. Step 3: Cross multiply
    9,035.61x = 13,401.07 × 13,401.07
  4. Step 4: Simplify right side
    9,035.61x = 179,588,685.52
  5. Step 5: Solve for x
    x = 179,588,685.52/9,035.61
  6. Step 6: Final answer
    x = 19,875.65

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.