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Finding the Third Proportional to 10,499.63 and 18,543.94

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Solution

The third proportional to 10,499.63 and 18,543.94 is: 32,751.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.63 : 18,543.94 = 18,543.94 : x
  2. Step 2: Convert to fraction form
    10,499.63/18,543.94 = 18,543.94/x
  3. Step 3: Cross multiply
    10,499.63x = 18,543.94 × 18,543.94
  4. Step 4: Simplify right side
    10,499.63x = 343,877,618.00
  5. Step 5: Solve for x
    x = 343,877,618.00/10,499.63
  6. Step 6: Final answer
    x = 32,751.42

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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.