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Finding the Third Proportional to 46,001.25 and 65,234.25

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Solution

The third proportional to 46,001.25 and 65,234.25 is: 92,508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,001.25 : 65,234.25 = 65,234.25 : x
  2. Step 2: Convert to fraction form
    46,001.25/65,234.25 = 65,234.25/x
  3. Step 3: Cross multiply
    46,001.25x = 65,234.25 × 65,234.25
  4. Step 4: Simplify right side
    46,001.25x = 4,255,507,373.06
  5. Step 5: Solve for x
    x = 4,255,507,373.06/46,001.25
  6. Step 6: Final answer
    x = 92,508.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.