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Finding the Third Proportional to 22,984 and 35,140

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Solution

The third proportional to 22,984 and 35,140 is: 53,725.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984 : 35,140 = 35,140 : x
  2. Step 2: Convert to fraction form
    22,984/35,140 = 35,140/x
  3. Step 3: Cross multiply
    22,984x = 35,140 × 35,140
  4. Step 4: Simplify right side
    22,984x = 1,234,819,600
  5. Step 5: Solve for x
    x = 1,234,819,600/22,984
  6. Step 6: Final answer
    x = 53,725.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.