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Finding the Third Proportional to 10,639.25 and 16,838.88

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Solution

The third proportional to 10,639.25 and 16,838.88 is: 26,651.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,639.25 : 16,838.88 = 16,838.88 : x
  2. Step 2: Convert to fraction form
    10,639.25/16,838.88 = 16,838.88/x
  3. Step 3: Cross multiply
    10,639.25x = 16,838.88 × 16,838.88
  4. Step 4: Simplify right side
    10,639.25x = 283,547,711.27
  5. Step 5: Solve for x
    x = 283,547,711.27/10,639.25
  6. Step 6: Final answer
    x = 26,651.10

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.