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Finding the Third Proportional to 30,867.75 and 46,095.75

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Solution

The third proportional to 30,867.75 and 46,095.75 is: 68,836.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867.75 : 46,095.75 = 46,095.75 : x
  2. Step 2: Convert to fraction form
    30,867.75/46,095.75 = 46,095.75/x
  3. Step 3: Cross multiply
    30,867.75x = 46,095.75 × 46,095.75
  4. Step 4: Simplify right side
    30,867.75x = 2,124,818,168.06
  5. Step 5: Solve for x
    x = 2,124,818,168.06/30,867.75
  6. Step 6: Final answer
    x = 68,836.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.