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Finding the Third Proportional to 19,362 and 26,425.50

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Solution

The third proportional to 19,362 and 26,425.50 is: 36,065.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,362 : 26,425.50 = 26,425.50 : x
  2. Step 2: Convert to fraction form
    19,362/26,425.50 = 26,425.50/x
  3. Step 3: Cross multiply
    19,362x = 26,425.50 × 26,425.50
  4. Step 4: Simplify right side
    19,362x = 698,307,050.25
  5. Step 5: Solve for x
    x = 698,307,050.25/19,362
  6. Step 6: Final answer
    x = 36,065.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.