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Finding the Third Proportional to 6,088 and 10,220

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Solution

The third proportional to 6,088 and 10,220 is: 17,156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,088 : 10,220 = 10,220 : x
  2. Step 2: Convert to fraction form
    6,088/10,220 = 10,220/x
  3. Step 3: Cross multiply
    6,088x = 10,220 × 10,220
  4. Step 4: Simplify right side
    6,088x = 104,448,400
  5. Step 5: Solve for x
    x = 104,448,400/6,088
  6. Step 6: Final answer
    x = 17,156.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.