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Finding the Third Proportional to 9,082 and 19,598.25

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Solution

The third proportional to 9,082 and 19,598.25 is: 42,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082 : 19,598.25 = 19,598.25 : x
  2. Step 2: Convert to fraction form
    9,082/19,598.25 = 19,598.25/x
  3. Step 3: Cross multiply
    9,082x = 19,598.25 × 19,598.25
  4. Step 4: Simplify right side
    9,082x = 384,091,403.06
  5. Step 5: Solve for x
    x = 384,091,403.06/9,082
  6. Step 6: Final answer
    x = 42,291.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.