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Finding the Third Proportional to 9,577.41 and 14,864.34

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Solution

The third proportional to 9,577.41 and 14,864.34 is: 23,069.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.41 : 14,864.34 = 14,864.34 : x
  2. Step 2: Convert to fraction form
    9,577.41/14,864.34 = 14,864.34/x
  3. Step 3: Cross multiply
    9,577.41x = 14,864.34 × 14,864.34
  4. Step 4: Simplify right side
    9,577.41x = 220,948,715.12
  5. Step 5: Solve for x
    x = 220,948,715.12/9,577.41
  6. Step 6: Final answer
    x = 23,069.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.