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Finding the Third Proportional to 46,152 and 65,999.25

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Solution

The third proportional to 46,152 and 65,999.25 is: 94,381.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,152 : 65,999.25 = 65,999.25 : x
  2. Step 2: Convert to fraction form
    46,152/65,999.25 = 65,999.25/x
  3. Step 3: Cross multiply
    46,152x = 65,999.25 × 65,999.25
  4. Step 4: Simplify right side
    46,152x = 4,355,901,000.56
  5. Step 5: Solve for x
    x = 4,355,901,000.56/46,152
  6. Step 6: Final answer
    x = 94,381.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.