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Finding the Third Proportional to 10,337.63 and 16,429.08

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Solution

The third proportional to 10,337.63 and 16,429.08 is: 26,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.63 : 16,429.08 = 16,429.08 : x
  2. Step 2: Convert to fraction form
    10,337.63/16,429.08 = 16,429.08/x
  3. Step 3: Cross multiply
    10,337.63x = 16,429.08 × 16,429.08
  4. Step 4: Simplify right side
    10,337.63x = 269,914,608.04
  5. Step 5: Solve for x
    x = 269,914,608.04/10,337.63
  6. Step 6: Final answer
    x = 26,109.92

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.