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Finding the Third Proportional to 9,507 and 19,677

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Solution

The third proportional to 9,507 and 19,677 is: 40,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507 : 19,677 = 19,677 : x
  2. Step 2: Convert to fraction form
    9,507/19,677 = 19,677/x
  3. Step 3: Cross multiply
    9,507x = 19,677 × 19,677
  4. Step 4: Simplify right side
    9,507x = 387,184,329
  5. Step 5: Solve for x
    x = 387,184,329/9,507
  6. Step 6: Final answer
    x = 40,726.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.