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Finding the Third Proportional to 6,925.50 and 13,577.63

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Solution

The third proportional to 6,925.50 and 13,577.63 is: 26,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,925.50 : 13,577.63 = 13,577.63 : x
  2. Step 2: Convert to fraction form
    6,925.50/13,577.63 = 13,577.63/x
  3. Step 3: Cross multiply
    6,925.50x = 13,577.63 × 13,577.63
  4. Step 4: Simplify right side
    6,925.50x = 184,351,900.64
  5. Step 5: Solve for x
    x = 184,351,900.64/6,925.50
  6. Step 6: Final answer
    x = 26,619.29

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.