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Finding the Third Proportional to 9,253.41 and 13,188.02

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Solution

The third proportional to 9,253.41 and 13,188.02 is: 18,795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.41 : 13,188.02 = 13,188.02 : x
  2. Step 2: Convert to fraction form
    9,253.41/13,188.02 = 13,188.02/x
  3. Step 3: Cross multiply
    9,253.41x = 13,188.02 × 13,188.02
  4. Step 4: Simplify right side
    9,253.41x = 173,923,962.19
  5. Step 5: Solve for x
    x = 173,923,962.19/9,253.41
  6. Step 6: Final answer
    x = 18,795.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.