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Finding the Third Proportional to 30,535 and 45,571

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Solution

The third proportional to 30,535 and 45,571 is: 68,011.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,535 : 45,571 = 45,571 : x
  2. Step 2: Convert to fraction form
    30,535/45,571 = 45,571/x
  3. Step 3: Cross multiply
    30,535x = 45,571 × 45,571
  4. Step 4: Simplify right side
    30,535x = 2,076,716,041
  5. Step 5: Solve for x
    x = 2,076,716,041/30,535
  6. Step 6: Final answer
    x = 68,011.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.