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Finding the Third Proportional to 4,030.59 and 6,225.61

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Solution

The third proportional to 4,030.59 and 6,225.61 is: 9,616.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,030.59 : 6,225.61 = 6,225.61 : x
  2. Step 2: Convert to fraction form
    4,030.59/6,225.61 = 6,225.61/x
  3. Step 3: Cross multiply
    4,030.59x = 6,225.61 × 6,225.61
  4. Step 4: Simplify right side
    4,030.59x = 38,758,212.09
  5. Step 5: Solve for x
    x = 38,758,212.09/4,030.59
  6. Step 6: Final answer
    x = 9,616.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.