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Finding the Third Proportional to 46,132.03 and 66,657.94

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Solution

The third proportional to 46,132.03 and 66,657.94 is: 96,316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,132.03 : 66,657.94 = 66,657.94 : x
  2. Step 2: Convert to fraction form
    46,132.03/66,657.94 = 66,657.94/x
  3. Step 3: Cross multiply
    46,132.03x = 66,657.94 × 66,657.94
  4. Step 4: Simplify right side
    46,132.03x = 4,443,280,631.75
  5. Step 5: Solve for x
    x = 4,443,280,631.75/46,132.03
  6. Step 6: Final answer
    x = 96,316.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.