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Finding the Third Proportional to 4,598.63 and 10,033.13

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Solution

The third proportional to 4,598.63 and 10,033.13 is: 21,889.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.63 : 10,033.13 = 10,033.13 : x
  2. Step 2: Convert to fraction form
    4,598.63/10,033.13 = 10,033.13/x
  3. Step 3: Cross multiply
    4,598.63x = 10,033.13 × 10,033.13
  4. Step 4: Simplify right side
    4,598.63x = 100,663,597.27
  5. Step 5: Solve for x
    x = 100,663,597.27/4,598.63
  6. Step 6: Final answer
    x = 21,889.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.