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Finding the Third Proportional to 30,095 and 64,815

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Solution

The third proportional to 30,095 and 64,815 is: 139,590.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,095 : 64,815 = 64,815 : x
  2. Step 2: Convert to fraction form
    30,095/64,815 = 64,815/x
  3. Step 3: Cross multiply
    30,095x = 64,815 × 64,815
  4. Step 4: Simplify right side
    30,095x = 4,200,984,225
  5. Step 5: Solve for x
    x = 4,200,984,225/30,095
  6. Step 6: Final answer
    x = 139,590.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.