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Finding the Third Proportional to 6,430.38 and 14,091.63

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Solution

The third proportional to 6,430.38 and 14,091.63 is: 30,880.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.38 : 14,091.63 = 14,091.63 : x
  2. Step 2: Convert to fraction form
    6,430.38/14,091.63 = 14,091.63/x
  3. Step 3: Cross multiply
    6,430.38x = 14,091.63 × 14,091.63
  4. Step 4: Simplify right side
    6,430.38x = 198,573,895.14
  5. Step 5: Solve for x
    x = 198,573,895.14/6,430.38
  6. Step 6: Final answer
    x = 30,880.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.