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Finding the Third Proportional to 30,440 and 40,718

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Solution

The third proportional to 30,440 and 40,718 is: 54,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,440 : 40,718 = 40,718 : x
  2. Step 2: Convert to fraction form
    30,440/40,718 = 40,718/x
  3. Step 3: Cross multiply
    30,440x = 40,718 × 40,718
  4. Step 4: Simplify right side
    30,440x = 1,657,955,524
  5. Step 5: Solve for x
    x = 1,657,955,524/30,440
  6. Step 6: Final answer
    x = 54,466.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.