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Finding the Third Proportional to 4,730.91 and 10,264.22

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Solution

The third proportional to 4,730.91 and 10,264.22 is: 22,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730.91 : 10,264.22 = 10,264.22 : x
  2. Step 2: Convert to fraction form
    4,730.91/10,264.22 = 10,264.22/x
  3. Step 3: Cross multiply
    4,730.91x = 10,264.22 × 10,264.22
  4. Step 4: Simplify right side
    4,730.91x = 105,354,186.55
  5. Step 5: Solve for x
    x = 105,354,186.55/4,730.91
  6. Step 6: Final answer
    x = 22,269.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.