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Finding the Third Proportional to 16,430.63 and 24,617.88

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Solution

The third proportional to 16,430.63 and 24,617.88 is: 36,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430.63 : 24,617.88 = 24,617.88 : x
  2. Step 2: Convert to fraction form
    16,430.63/24,617.88 = 24,617.88/x
  3. Step 3: Cross multiply
    16,430.63x = 24,617.88 × 24,617.88
  4. Step 4: Simplify right side
    16,430.63x = 606,039,769.52
  5. Step 5: Solve for x
    x = 606,039,769.52/16,430.63
  6. Step 6: Final answer
    x = 36,884.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.