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Finding the Third Proportional to 27,312 and 44,322.75

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Solution

The third proportional to 27,312 and 44,322.75 is: 71,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,312 : 44,322.75 = 44,322.75 : x
  2. Step 2: Convert to fraction form
    27,312/44,322.75 = 44,322.75/x
  3. Step 3: Cross multiply
    27,312x = 44,322.75 × 44,322.75
  4. Step 4: Simplify right side
    27,312x = 1,964,506,167.56
  5. Step 5: Solve for x
    x = 1,964,506,167.56/27,312
  6. Step 6: Final answer
    x = 71,928.32

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.