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Finding the Third Proportional to 9,061.24 and 13,583.32

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Solution

The third proportional to 9,061.24 and 13,583.32 is: 20,362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,061.24 : 13,583.32 = 13,583.32 : x
  2. Step 2: Convert to fraction form
    9,061.24/13,583.32 = 13,583.32/x
  3. Step 3: Cross multiply
    9,061.24x = 13,583.32 × 13,583.32
  4. Step 4: Simplify right side
    9,061.24x = 184,506,590.71
  5. Step 5: Solve for x
    x = 184,506,590.71/9,061.24
  6. Step 6: Final answer
    x = 20,362.17

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