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Finding the Third Proportional to 14,208.13 and 21,509.63

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Solution

The third proportional to 14,208.13 and 21,509.63 is: 32,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,208.13 : 21,509.63 = 21,509.63 : x
  2. Step 2: Convert to fraction form
    14,208.13/21,509.63 = 21,509.63/x
  3. Step 3: Cross multiply
    14,208.13x = 21,509.63 × 21,509.63
  4. Step 4: Simplify right side
    14,208.13x = 462,663,967.64
  5. Step 5: Solve for x
    x = 462,663,967.64/14,208.13
  6. Step 6: Final answer
    x = 32,563.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.