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Finding the Third Proportional to 28,435 and 44,606

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Solution

The third proportional to 28,435 and 44,606 is: 69,973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,435 : 44,606 = 44,606 : x
  2. Step 2: Convert to fraction form
    28,435/44,606 = 44,606/x
  3. Step 3: Cross multiply
    28,435x = 44,606 × 44,606
  4. Step 4: Simplify right side
    28,435x = 1,989,695,236
  5. Step 5: Solve for x
    x = 1,989,695,236/28,435
  6. Step 6: Final answer
    x = 69,973.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.