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Finding the Third Proportional to 7,095 and 11,686.50

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Solution

The third proportional to 7,095 and 11,686.50 is: 19,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095 : 11,686.50 = 11,686.50 : x
  2. Step 2: Convert to fraction form
    7,095/11,686.50 = 11,686.50/x
  3. Step 3: Cross multiply
    7,095x = 11,686.50 × 11,686.50
  4. Step 4: Simplify right side
    7,095x = 136,574,282.25
  5. Step 5: Solve for x
    x = 136,574,282.25/7,095
  6. Step 6: Final answer
    x = 19,249.37

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.