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Finding the Third Proportional to 46,386 and 72,003.75

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Solution

The third proportional to 46,386 and 72,003.75 is: 111,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,386 : 72,003.75 = 72,003.75 : x
  2. Step 2: Convert to fraction form
    46,386/72,003.75 = 72,003.75/x
  3. Step 3: Cross multiply
    46,386x = 72,003.75 × 72,003.75
  4. Step 4: Simplify right side
    46,386x = 5,184,540,014.06
  5. Step 5: Solve for x
    x = 5,184,540,014.06/46,386
  6. Step 6: Final answer
    x = 111,769.50

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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.