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Finding the Third Proportional to 13,564.13 and 17,577.84

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Solution

The third proportional to 13,564.13 and 17,577.84 is: 22,779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.13 : 17,577.84 = 17,577.84 : x
  2. Step 2: Convert to fraction form
    13,564.13/17,577.84 = 17,577.84/x
  3. Step 3: Cross multiply
    13,564.13x = 17,577.84 × 17,577.84
  4. Step 4: Simplify right side
    13,564.13x = 308,980,590.90
  5. Step 5: Solve for x
    x = 308,980,590.90/13,564.13
  6. Step 6: Final answer
    x = 22,779.25

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.