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Finding the Third Proportional to 12,748 and 19,054

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Solution

The third proportional to 12,748 and 19,054 is: 28,479.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,748 : 19,054 = 19,054 : x
  2. Step 2: Convert to fraction form
    12,748/19,054 = 19,054/x
  3. Step 3: Cross multiply
    12,748x = 19,054 × 19,054
  4. Step 4: Simplify right side
    12,748x = 363,054,916
  5. Step 5: Solve for x
    x = 363,054,916/12,748
  6. Step 6: Final answer
    x = 28,479.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.