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Finding the Third Proportional to 4,210.73 and 6,164.23

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Solution

The third proportional to 4,210.73 and 6,164.23 is: 9,024.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.73 : 6,164.23 = 6,164.23 : x
  2. Step 2: Convert to fraction form
    4,210.73/6,164.23 = 6,164.23/x
  3. Step 3: Cross multiply
    4,210.73x = 6,164.23 × 6,164.23
  4. Step 4: Simplify right side
    4,210.73x = 37,997,689.11
  5. Step 5: Solve for x
    x = 37,997,689.11/4,210.73
  6. Step 6: Final answer
    x = 9,024.01

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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.