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Finding the Third Proportional to 7,998.75 and 13,577.63

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Solution

The third proportional to 7,998.75 and 13,577.63 is: 23,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.75 : 13,577.63 = 13,577.63 : x
  2. Step 2: Convert to fraction form
    7,998.75/13,577.63 = 13,577.63/x
  3. Step 3: Cross multiply
    7,998.75x = 13,577.63 × 13,577.63
  4. Step 4: Simplify right side
    7,998.75x = 184,351,900.64
  5. Step 5: Solve for x
    x = 184,351,900.64/7,998.75
  6. Step 6: Final answer
    x = 23,047.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.