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Finding the Third Proportional to 13,382 and 28,922

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Solution

The third proportional to 13,382 and 28,922 is: 62,508.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382 : 28,922 = 28,922 : x
  2. Step 2: Convert to fraction form
    13,382/28,922 = 28,922/x
  3. Step 3: Cross multiply
    13,382x = 28,922 × 28,922
  4. Step 4: Simplify right side
    13,382x = 836,482,084
  5. Step 5: Solve for x
    x = 836,482,084/13,382
  6. Step 6: Final answer
    x = 62,508.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.