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Finding the Third Proportional to 6,971.06 and 10,524.94

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Solution

The third proportional to 6,971.06 and 10,524.94 is: 15,890.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.06 : 10,524.94 = 10,524.94 : x
  2. Step 2: Convert to fraction form
    6,971.06/10,524.94 = 10,524.94/x
  3. Step 3: Cross multiply
    6,971.06x = 10,524.94 × 10,524.94
  4. Step 4: Simplify right side
    6,971.06x = 110,774,309.38
  5. Step 5: Solve for x
    x = 110,774,309.38/6,971.06
  6. Step 6: Final answer
    x = 15,890.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.