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Finding the Third Proportional to 4,598.02 and 10,031.34

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Solution

The third proportional to 4,598.02 and 10,031.34 is: 21,885.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.02 : 10,031.34 = 10,031.34 : x
  2. Step 2: Convert to fraction form
    4,598.02/10,031.34 = 10,031.34/x
  3. Step 3: Cross multiply
    4,598.02x = 10,031.34 × 10,031.34
  4. Step 4: Simplify right side
    4,598.02x = 100,627,857.43
  5. Step 5: Solve for x
    x = 100,627,857.43/4,598.02
  6. Step 6: Final answer
    x = 21,885.06

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