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Finding the Third Proportional to 6,931.20 and 14,323.71

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Solution

The third proportional to 6,931.20 and 14,323.71 is: 29,600.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.20 : 14,323.71 = 14,323.71 : x
  2. Step 2: Convert to fraction form
    6,931.20/14,323.71 = 14,323.71/x
  3. Step 3: Cross multiply
    6,931.20x = 14,323.71 × 14,323.71
  4. Step 4: Simplify right side
    6,931.20x = 205,168,695.02
  5. Step 5: Solve for x
    x = 205,168,695.02/6,931.20
  6. Step 6: Final answer
    x = 29,600.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.