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Finding the Third Proportional to 27,931.50 and 56,673

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Solution

The third proportional to 27,931.50 and 56,673 is: 114,989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,931.50 : 56,673 = 56,673 : x
  2. Step 2: Convert to fraction form
    27,931.50/56,673 = 56,673/x
  3. Step 3: Cross multiply
    27,931.50x = 56,673 × 56,673
  4. Step 4: Simplify right side
    27,931.50x = 3,211,828,929
  5. Step 5: Solve for x
    x = 3,211,828,929/27,931.50
  6. Step 6: Final answer
    x = 114,989.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.