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Finding the Third Proportional to 46,971.75 and 72,815.75

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Solution

The third proportional to 46,971.75 and 72,815.75 is: 112,879.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,971.75 : 72,815.75 = 72,815.75 : x
  2. Step 2: Convert to fraction form
    46,971.75/72,815.75 = 72,815.75/x
  3. Step 3: Cross multiply
    46,971.75x = 72,815.75 × 72,815.75
  4. Step 4: Simplify right side
    46,971.75x = 5,302,133,448.06
  5. Step 5: Solve for x
    x = 5,302,133,448.06/46,971.75
  6. Step 6: Final answer
    x = 112,879.20

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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.