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Finding the Third Proportional to 22,574 and 45,700

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Solution

The third proportional to 22,574 and 45,700 is: 92,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,574 : 45,700 = 45,700 : x
  2. Step 2: Convert to fraction form
    22,574/45,700 = 45,700/x
  3. Step 3: Cross multiply
    22,574x = 45,700 × 45,700
  4. Step 4: Simplify right side
    22,574x = 2,088,490,000
  5. Step 5: Solve for x
    x = 2,088,490,000/22,574
  6. Step 6: Final answer
    x = 92,517.50

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.