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Finding the Third Proportional to 9,741.38 and 22,987.13

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Solution

The third proportional to 9,741.38 and 22,987.13 is: 54,243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.38 : 22,987.13 = 22,987.13 : x
  2. Step 2: Convert to fraction form
    9,741.38/22,987.13 = 22,987.13/x
  3. Step 3: Cross multiply
    9,741.38x = 22,987.13 × 22,987.13
  4. Step 4: Simplify right side
    9,741.38x = 528,407,915.77
  5. Step 5: Solve for x
    x = 528,407,915.77/9,741.38
  6. Step 6: Final answer
    x = 54,243.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.