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Finding the Third Proportional to 4,258.83 and 9,329.06

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Solution

The third proportional to 4,258.83 and 9,329.06 is: 20,435.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.83 : 9,329.06 = 9,329.06 : x
  2. Step 2: Convert to fraction form
    4,258.83/9,329.06 = 9,329.06/x
  3. Step 3: Cross multiply
    4,258.83x = 9,329.06 × 9,329.06
  4. Step 4: Simplify right side
    4,258.83x = 87,031,407.13
  5. Step 5: Solve for x
    x = 87,031,407.13/4,258.83
  6. Step 6: Final answer
    x = 20,435.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.