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Finding the Third Proportional to 6,285.09 and 13,532.06

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Solution

The third proportional to 6,285.09 and 13,532.06 is: 29,135.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.09 : 13,532.06 = 13,532.06 : x
  2. Step 2: Convert to fraction form
    6,285.09/13,532.06 = 13,532.06/x
  3. Step 3: Cross multiply
    6,285.09x = 13,532.06 × 13,532.06
  4. Step 4: Simplify right side
    6,285.09x = 183,116,715.50
  5. Step 5: Solve for x
    x = 183,116,715.50/6,285.09
  6. Step 6: Final answer
    x = 29,135.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.