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Finding the Third Proportional to 12,111 and 28,303.50

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Solution

The third proportional to 12,111 and 28,303.50 is: 66,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111 : 28,303.50 = 28,303.50 : x
  2. Step 2: Convert to fraction form
    12,111/28,303.50 = 28,303.50/x
  3. Step 3: Cross multiply
    12,111x = 28,303.50 × 28,303.50
  4. Step 4: Simplify right side
    12,111x = 801,088,112.25
  5. Step 5: Solve for x
    x = 801,088,112.25/12,111
  6. Step 6: Final answer
    x = 66,145.50

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.