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Finding the Third Proportional to 13,488 and 19,768

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Solution

The third proportional to 13,488 and 19,768 is: 28,971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488 : 19,768 = 19,768 : x
  2. Step 2: Convert to fraction form
    13,488/19,768 = 19,768/x
  3. Step 3: Cross multiply
    13,488x = 19,768 × 19,768
  4. Step 4: Simplify right side
    13,488x = 390,773,824
  5. Step 5: Solve for x
    x = 390,773,824/13,488
  6. Step 6: Final answer
    x = 28,971.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.