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Finding the Third Proportional to 4,235.63 and 9,056.81

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Solution

The third proportional to 4,235.63 and 9,056.81 is: 19,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.63 : 9,056.81 = 9,056.81 : x
  2. Step 2: Convert to fraction form
    4,235.63/9,056.81 = 9,056.81/x
  3. Step 3: Cross multiply
    4,235.63x = 9,056.81 × 9,056.81
  4. Step 4: Simplify right side
    4,235.63x = 82,025,852.66
  5. Step 5: Solve for x
    x = 82,025,852.66/4,235.63
  6. Step 6: Final answer
    x = 19,365.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.