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Finding the Third Proportional to 43,085 and 64,673

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Solution

The third proportional to 43,085 and 64,673 is: 97,077.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,085 : 64,673 = 64,673 : x
  2. Step 2: Convert to fraction form
    43,085/64,673 = 64,673/x
  3. Step 3: Cross multiply
    43,085x = 64,673 × 64,673
  4. Step 4: Simplify right side
    43,085x = 4,182,596,929
  5. Step 5: Solve for x
    x = 4,182,596,929/43,085
  6. Step 6: Final answer
    x = 97,077.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.