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Finding the Third Proportional to 46,983 and 72,796.50

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Solution

The third proportional to 46,983 and 72,796.50 is: 112,792.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,983 : 72,796.50 = 72,796.50 : x
  2. Step 2: Convert to fraction form
    46,983/72,796.50 = 72,796.50/x
  3. Step 3: Cross multiply
    46,983x = 72,796.50 × 72,796.50
  4. Step 4: Simplify right side
    46,983x = 5,299,330,412.25
  5. Step 5: Solve for x
    x = 5,299,330,412.25/46,983
  6. Step 6: Final answer
    x = 112,792.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.