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Finding the Third Proportional to 27,095 and 40,643.50

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Solution

The third proportional to 27,095 and 40,643.50 is: 60,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,095 : 40,643.50 = 40,643.50 : x
  2. Step 2: Convert to fraction form
    27,095/40,643.50 = 40,643.50/x
  3. Step 3: Cross multiply
    27,095x = 40,643.50 × 40,643.50
  4. Step 4: Simplify right side
    27,095x = 1,651,894,092.25
  5. Step 5: Solve for x
    x = 1,651,894,092.25/27,095
  6. Step 6: Final answer
    x = 60,966.75

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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.