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Finding the Third Proportional to 9,491.63 and 15,085.17

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Solution

The third proportional to 9,491.63 and 15,085.17 is: 23,975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.63 : 15,085.17 = 15,085.17 : x
  2. Step 2: Convert to fraction form
    9,491.63/15,085.17 = 15,085.17/x
  3. Step 3: Cross multiply
    9,491.63x = 15,085.17 × 15,085.17
  4. Step 4: Simplify right side
    9,491.63x = 227,562,410.50
  5. Step 5: Solve for x
    x = 227,562,410.50/9,491.63
  6. Step 6: Final answer
    x = 23,975.07

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.