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Finding the Third Proportional to 9,357.75 and 13,763.06

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Solution

The third proportional to 9,357.75 and 13,763.06 is: 20,242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.75 : 13,763.06 = 13,763.06 : x
  2. Step 2: Convert to fraction form
    9,357.75/13,763.06 = 13,763.06/x
  3. Step 3: Cross multiply
    9,357.75x = 13,763.06 × 13,763.06
  4. Step 4: Simplify right side
    9,357.75x = 189,421,889.38
  5. Step 5: Solve for x
    x = 189,421,889.38/9,357.75
  6. Step 6: Final answer
    x = 20,242.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.