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Finding the Third Proportional to 4,055.06 and 5,913.84

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Solution

The third proportional to 4,055.06 and 5,913.84 is: 8,624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.06 : 5,913.84 = 5,913.84 : x
  2. Step 2: Convert to fraction form
    4,055.06/5,913.84 = 5,913.84/x
  3. Step 3: Cross multiply
    4,055.06x = 5,913.84 × 5,913.84
  4. Step 4: Simplify right side
    4,055.06x = 34,973,547.90
  5. Step 5: Solve for x
    x = 34,973,547.90/4,055.06
  6. Step 6: Final answer
    x = 8,624.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.