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Finding the Third Proportional to 13,460.25 and 27,592.13

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Solution

The third proportional to 13,460.25 and 27,592.13 is: 56,561.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.25 : 27,592.13 = 27,592.13 : x
  2. Step 2: Convert to fraction form
    13,460.25/27,592.13 = 27,592.13/x
  3. Step 3: Cross multiply
    13,460.25x = 27,592.13 × 27,592.13
  4. Step 4: Simplify right side
    13,460.25x = 761,325,362.02
  5. Step 5: Solve for x
    x = 761,325,362.02/13,460.25
  6. Step 6: Final answer
    x = 56,561.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.