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Finding the Third Proportional to 10,487.63 and 16,004.81

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Solution

The third proportional to 10,487.63 and 16,004.81 is: 24,424.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.63 : 16,004.81 = 16,004.81 : x
  2. Step 2: Convert to fraction form
    10,487.63/16,004.81 = 16,004.81/x
  3. Step 3: Cross multiply
    10,487.63x = 16,004.81 × 16,004.81
  4. Step 4: Simplify right side
    10,487.63x = 256,154,023.16
  5. Step 5: Solve for x
    x = 256,154,023.16/10,487.63
  6. Step 6: Final answer
    x = 24,424.41

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.