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Finding the Third Proportional to 46,809 and 70,141.50

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Solution

The third proportional to 46,809 and 70,141.50 is: 105,104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,809 : 70,141.50 = 70,141.50 : x
  2. Step 2: Convert to fraction form
    46,809/70,141.50 = 70,141.50/x
  3. Step 3: Cross multiply
    46,809x = 70,141.50 × 70,141.50
  4. Step 4: Simplify right side
    46,809x = 4,919,830,022.25
  5. Step 5: Solve for x
    x = 4,919,830,022.25/46,809
  6. Step 6: Final answer
    x = 105,104.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.