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Finding the Third Proportional to 14,740 and 19,768

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Solution

The third proportional to 14,740 and 19,768 is: 26,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,740 : 19,768 = 19,768 : x
  2. Step 2: Convert to fraction form
    14,740/19,768 = 19,768/x
  3. Step 3: Cross multiply
    14,740x = 19,768 × 19,768
  4. Step 4: Simplify right side
    14,740x = 390,773,824
  5. Step 5: Solve for x
    x = 390,773,824/14,740
  6. Step 6: Final answer
    x = 26,511.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.