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Finding the Third Proportional to 4,574 and 6,205

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Solution

The third proportional to 4,574 and 6,205 is: 8,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574 : 6,205 = 6,205 : x
  2. Step 2: Convert to fraction form
    4,574/6,205 = 6,205/x
  3. Step 3: Cross multiply
    4,574x = 6,205 × 6,205
  4. Step 4: Simplify right side
    4,574x = 38,502,025
  5. Step 5: Solve for x
    x = 38,502,025/4,574
  6. Step 6: Final answer
    x = 8,417.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.