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Finding the Third Proportional to 10,733.63 and 23,374.50

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Solution

The third proportional to 10,733.63 and 23,374.50 is: 50,902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,733.63 : 23,374.50 = 23,374.50 : x
  2. Step 2: Convert to fraction form
    10,733.63/23,374.50 = 23,374.50/x
  3. Step 3: Cross multiply
    10,733.63x = 23,374.50 × 23,374.50
  4. Step 4: Simplify right side
    10,733.63x = 546,367,250.25
  5. Step 5: Solve for x
    x = 546,367,250.25/10,733.63
  6. Step 6: Final answer
    x = 50,902.40

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.