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Finding the Third Proportional to 14,209.50 and 21,313.88

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Solution

The third proportional to 14,209.50 and 21,313.88 is: 31,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209.50 : 21,313.88 = 21,313.88 : x
  2. Step 2: Convert to fraction form
    14,209.50/21,313.88 = 21,313.88/x
  3. Step 3: Cross multiply
    14,209.50x = 21,313.88 × 21,313.88
  4. Step 4: Simplify right side
    14,209.50x = 454,281,267.52
  5. Step 5: Solve for x
    x = 454,281,267.52/14,209.50
  6. Step 6: Final answer
    x = 31,970.25

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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.