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Finding the Third Proportional to 44,600 and 70,584

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Solution

The third proportional to 44,600 and 70,584 is: 111,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,600 : 70,584 = 70,584 : x
  2. Step 2: Convert to fraction form
    44,600/70,584 = 70,584/x
  3. Step 3: Cross multiply
    44,600x = 70,584 × 70,584
  4. Step 4: Simplify right side
    44,600x = 4,982,101,056
  5. Step 5: Solve for x
    x = 4,982,101,056/44,600
  6. Step 6: Final answer
    x = 111,706.30

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.