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Finding the Third Proportional to 46,723.50 and 61,323.75

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Solution

The third proportional to 46,723.50 and 61,323.75 is: 80,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,723.50 : 61,323.75 = 61,323.75 : x
  2. Step 2: Convert to fraction form
    46,723.50/61,323.75 = 61,323.75/x
  3. Step 3: Cross multiply
    46,723.50x = 61,323.75 × 61,323.75
  4. Step 4: Simplify right side
    46,723.50x = 3,760,602,314.06
  5. Step 5: Solve for x
    x = 3,760,602,314.06/46,723.50
  6. Step 6: Final answer
    x = 80,486.31

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.