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Finding the Third Proportional to 8,052 and 14,440

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Solution

The third proportional to 8,052 and 14,440 is: 25,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052 : 14,440 = 14,440 : x
  2. Step 2: Convert to fraction form
    8,052/14,440 = 14,440/x
  3. Step 3: Cross multiply
    8,052x = 14,440 × 14,440
  4. Step 4: Simplify right side
    8,052x = 208,513,600
  5. Step 5: Solve for x
    x = 208,513,600/8,052
  6. Step 6: Final answer
    x = 25,895.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.