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Finding the Third Proportional to 4,314.94 and 9,061.88

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Solution

The third proportional to 4,314.94 and 9,061.88 is: 19,031.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.94 : 9,061.88 = 9,061.88 : x
  2. Step 2: Convert to fraction form
    4,314.94/9,061.88 = 9,061.88/x
  3. Step 3: Cross multiply
    4,314.94x = 9,061.88 × 9,061.88
  4. Step 4: Simplify right side
    4,314.94x = 82,117,578.52
  5. Step 5: Solve for x
    x = 82,117,578.52/4,314.94
  6. Step 6: Final answer
    x = 19,031.00

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.