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Finding the Third Proportional to 46,990.13 and 71,973.70

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Solution

The third proportional to 46,990.13 and 71,973.70 is: 110,240.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,990.13 : 71,973.70 = 71,973.70 : x
  2. Step 2: Convert to fraction form
    46,990.13/71,973.70 = 71,973.70/x
  3. Step 3: Cross multiply
    46,990.13x = 71,973.70 × 71,973.70
  4. Step 4: Simplify right side
    46,990.13x = 5,180,213,941.53
  5. Step 5: Solve for x
    x = 5,180,213,941.53/46,990.13
  6. Step 6: Final answer
    x = 110,240.48

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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.