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Finding the Third Proportional to 44,957 and 71,445

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Solution

The third proportional to 44,957 and 71,445 is: 113,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,957 : 71,445 = 71,445 : x
  2. Step 2: Convert to fraction form
    44,957/71,445 = 71,445/x
  3. Step 3: Cross multiply
    44,957x = 71,445 × 71,445
  4. Step 4: Simplify right side
    44,957x = 5,104,388,025
  5. Step 5: Solve for x
    x = 5,104,388,025/44,957
  6. Step 6: Final answer
    x = 113,539.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.