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Finding the Third Proportional to 9,807.75 and 14,522.63

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Solution

The third proportional to 9,807.75 and 14,522.63 is: 21,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.75 : 14,522.63 = 14,522.63 : x
  2. Step 2: Convert to fraction form
    9,807.75/14,522.63 = 14,522.63/x
  3. Step 3: Cross multiply
    9,807.75x = 14,522.63 × 14,522.63
  4. Step 4: Simplify right side
    9,807.75x = 210,906,636.89
  5. Step 5: Solve for x
    x = 210,906,636.89/9,807.75
  6. Step 6: Final answer
    x = 21,504.08

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.