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Finding the Third Proportional to 5,440 and 14,768

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Solution

The third proportional to 5,440 and 14,768 is: 40,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,440 : 14,768 = 14,768 : x
  2. Step 2: Convert to fraction form
    5,440/14,768 = 14,768/x
  3. Step 3: Cross multiply
    5,440x = 14,768 × 14,768
  4. Step 4: Simplify right side
    5,440x = 218,093,824
  5. Step 5: Solve for x
    x = 218,093,824/5,440
  6. Step 6: Final answer
    x = 40,090.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.