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Finding the Third Proportional to 9,720.38 and 14,577.75

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Solution

The third proportional to 9,720.38 and 14,577.75 is: 21,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.38 : 14,577.75 = 14,577.75 : x
  2. Step 2: Convert to fraction form
    9,720.38/14,577.75 = 14,577.75/x
  3. Step 3: Cross multiply
    9,720.38x = 14,577.75 × 14,577.75
  4. Step 4: Simplify right side
    9,720.38x = 212,510,795.06
  5. Step 5: Solve for x
    x = 212,510,795.06/9,720.38
  6. Step 6: Final answer
    x = 21,862.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.