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Finding the Third Proportional to 29,907 and 59,445

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Solution

The third proportional to 29,907 and 59,445 is: 118,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,907 : 59,445 = 59,445 : x
  2. Step 2: Convert to fraction form
    29,907/59,445 = 59,445/x
  3. Step 3: Cross multiply
    29,907x = 59,445 × 59,445
  4. Step 4: Simplify right side
    29,907x = 3,533,708,025
  5. Step 5: Solve for x
    x = 3,533,708,025/29,907
  6. Step 6: Final answer
    x = 118,156.55

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.