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Finding the Third Proportional to 10,818.38 and 16,430.63

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Solution

The third proportional to 10,818.38 and 16,430.63 is: 24,954.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,818.38 : 16,430.63 = 16,430.63 : x
  2. Step 2: Convert to fraction form
    10,818.38/16,430.63 = 16,430.63/x
  3. Step 3: Cross multiply
    10,818.38x = 16,430.63 × 16,430.63
  4. Step 4: Simplify right side
    10,818.38x = 269,965,437.89
  5. Step 5: Solve for x
    x = 269,965,437.89/10,818.38
  6. Step 6: Final answer
    x = 24,954.34

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.