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Finding the Third Proportional to 46,734.75 and 72,501.75

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Solution

The third proportional to 46,734.75 and 72,501.75 is: 112,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,734.75 : 72,501.75 = 72,501.75 : x
  2. Step 2: Convert to fraction form
    46,734.75/72,501.75 = 72,501.75/x
  3. Step 3: Cross multiply
    46,734.75x = 72,501.75 × 72,501.75
  4. Step 4: Simplify right side
    46,734.75x = 5,256,503,753.06
  5. Step 5: Solve for x
    x = 5,256,503,753.06/46,734.75
  6. Step 6: Final answer
    x = 112,475.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.