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Finding the Third Proportional to 4,837.55 and 9,880.08

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Solution

The third proportional to 4,837.55 and 9,880.08 is: 20,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,837.55 : 9,880.08 = 9,880.08 : x
  2. Step 2: Convert to fraction form
    4,837.55/9,880.08 = 9,880.08/x
  3. Step 3: Cross multiply
    4,837.55x = 9,880.08 × 9,880.08
  4. Step 4: Simplify right side
    4,837.55x = 97,615,943.76
  5. Step 5: Solve for x
    x = 97,615,943.76/4,837.55
  6. Step 6: Final answer
    x = 20,178.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.