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Finding the Third Proportional to 7,362 and 11,564.25

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Solution

The third proportional to 7,362 and 11,564.25 is: 18,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362 : 11,564.25 = 11,564.25 : x
  2. Step 2: Convert to fraction form
    7,362/11,564.25 = 11,564.25/x
  3. Step 3: Cross multiply
    7,362x = 11,564.25 × 11,564.25
  4. Step 4: Simplify right side
    7,362x = 133,731,878.06
  5. Step 5: Solve for x
    x = 133,731,878.06/7,362
  6. Step 6: Final answer
    x = 18,165.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.