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Finding the Third Proportional to 46,126.50 and 69,511.50

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Solution

The third proportional to 46,126.50 and 69,511.50 is: 104,752.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,126.50 : 69,511.50 = 69,511.50 : x
  2. Step 2: Convert to fraction form
    46,126.50/69,511.50 = 69,511.50/x
  3. Step 3: Cross multiply
    46,126.50x = 69,511.50 × 69,511.50
  4. Step 4: Simplify right side
    46,126.50x = 4,831,848,632.25
  5. Step 5: Solve for x
    x = 4,831,848,632.25/46,126.50
  6. Step 6: Final answer
    x = 104,752.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.