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Finding the Third Proportional to 44,909 and 70,926

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Solution

The third proportional to 44,909 and 70,926 is: 112,015.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,909 : 70,926 = 70,926 : x
  2. Step 2: Convert to fraction form
    44,909/70,926 = 70,926/x
  3. Step 3: Cross multiply
    44,909x = 70,926 × 70,926
  4. Step 4: Simplify right side
    44,909x = 5,030,497,476
  5. Step 5: Solve for x
    x = 5,030,497,476/44,909
  6. Step 6: Final answer
    x = 112,015.35

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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.