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Finding the Third Proportional to 43,276 and 65,726

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Solution

The third proportional to 43,276 and 65,726 is: 99,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,276 : 65,726 = 65,726 : x
  2. Step 2: Convert to fraction form
    43,276/65,726 = 65,726/x
  3. Step 3: Cross multiply
    43,276x = 65,726 × 65,726
  4. Step 4: Simplify right side
    43,276x = 4,319,907,076
  5. Step 5: Solve for x
    x = 4,319,907,076/43,276
  6. Step 6: Final answer
    x = 99,822.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.