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Finding the Third Proportional to 6,999.54 and 14,859.07

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Solution

The third proportional to 6,999.54 and 14,859.07 is: 31,543.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.54 : 14,859.07 = 14,859.07 : x
  2. Step 2: Convert to fraction form
    6,999.54/14,859.07 = 14,859.07/x
  3. Step 3: Cross multiply
    6,999.54x = 14,859.07 × 14,859.07
  4. Step 4: Simplify right side
    6,999.54x = 220,791,970.55
  5. Step 5: Solve for x
    x = 220,791,970.55/6,999.54
  6. Step 6: Final answer
    x = 31,543.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.