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Finding the Third Proportional to 13,341 and 19,322.25

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Solution

The third proportional to 13,341 and 19,322.25 is: 27,985.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,341 : 19,322.25 = 19,322.25 : x
  2. Step 2: Convert to fraction form
    13,341/19,322.25 = 19,322.25/x
  3. Step 3: Cross multiply
    13,341x = 19,322.25 × 19,322.25
  4. Step 4: Simplify right side
    13,341x = 373,349,345.06
  5. Step 5: Solve for x
    x = 373,349,345.06/13,341
  6. Step 6: Final answer
    x = 27,985.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.