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Finding the Third Proportional to 15,376.50 and 19,648.25

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Solution

The third proportional to 15,376.50 and 19,648.25 is: 25,106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,376.50 : 19,648.25 = 19,648.25 : x
  2. Step 2: Convert to fraction form
    15,376.50/19,648.25 = 19,648.25/x
  3. Step 3: Cross multiply
    15,376.50x = 19,648.25 × 19,648.25
  4. Step 4: Simplify right side
    15,376.50x = 386,053,728.06
  5. Step 5: Solve for x
    x = 386,053,728.06/15,376.50
  6. Step 6: Final answer
    x = 25,106.74

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.