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Finding the Third Proportional to 6,907.50 and 10,362

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Solution

The third proportional to 6,907.50 and 10,362 is: 15,544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.50 : 10,362 = 10,362 : x
  2. Step 2: Convert to fraction form
    6,907.50/10,362 = 10,362/x
  3. Step 3: Cross multiply
    6,907.50x = 10,362 × 10,362
  4. Step 4: Simplify right side
    6,907.50x = 107,371,044
  5. Step 5: Solve for x
    x = 107,371,044/6,907.50
  6. Step 6: Final answer
    x = 15,544.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.