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Finding the Third Proportional to 46,457.25 and 73,829.25

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Solution

The third proportional to 46,457.25 and 73,829.25 is: 117,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,457.25 : 73,829.25 = 73,829.25 : x
  2. Step 2: Convert to fraction form
    46,457.25/73,829.25 = 73,829.25/x
  3. Step 3: Cross multiply
    46,457.25x = 73,829.25 × 73,829.25
  4. Step 4: Simplify right side
    46,457.25x = 5,450,758,155.56
  5. Step 5: Solve for x
    x = 5,450,758,155.56/46,457.25
  6. Step 6: Final answer
    x = 117,328.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.