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Finding the Third Proportional to 10,436.63 and 16,041.38

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Solution

The third proportional to 10,436.63 and 16,041.38 is: 24,656.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.63 : 16,041.38 = 16,041.38 : x
  2. Step 2: Convert to fraction form
    10,436.63/16,041.38 = 16,041.38/x
  3. Step 3: Cross multiply
    10,436.63x = 16,041.38 × 16,041.38
  4. Step 4: Simplify right side
    10,436.63x = 257,325,711.89
  5. Step 5: Solve for x
    x = 257,325,711.89/10,436.63
  6. Step 6: Final answer
    x = 24,656.03

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.