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Finding the Third Proportional to 42,851 and 65,909

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Solution

The third proportional to 42,851 and 65,909 is: 101,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,851 : 65,909 = 65,909 : x
  2. Step 2: Convert to fraction form
    42,851/65,909 = 65,909/x
  3. Step 3: Cross multiply
    42,851x = 65,909 × 65,909
  4. Step 4: Simplify right side
    42,851x = 4,343,996,281
  5. Step 5: Solve for x
    x = 4,343,996,281/42,851
  6. Step 6: Final answer
    x = 101,374.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.