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Finding the Third Proportional to 46,445.06 and 71,166.94

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Solution

The third proportional to 46,445.06 and 71,166.94 is: 109,047.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,445.06 : 71,166.94 = 71,166.94 : x
  2. Step 2: Convert to fraction form
    46,445.06/71,166.94 = 71,166.94/x
  3. Step 3: Cross multiply
    46,445.06x = 71,166.94 × 71,166.94
  4. Step 4: Simplify right side
    46,445.06x = 5,064,732,993.13
  5. Step 5: Solve for x
    x = 5,064,732,993.13/46,445.06
  6. Step 6: Final answer
    x = 109,047.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.