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Finding the Third Proportional to 14,239.13 and 21,530.81

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Solution

The third proportional to 14,239.13 and 21,530.81 is: 32,556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,239.13 : 21,530.81 = 21,530.81 : x
  2. Step 2: Convert to fraction form
    14,239.13/21,530.81 = 21,530.81/x
  3. Step 3: Cross multiply
    14,239.13x = 21,530.81 × 21,530.81
  4. Step 4: Simplify right side
    14,239.13x = 463,575,886.91
  5. Step 5: Solve for x
    x = 463,575,886.91/14,239.13
  6. Step 6: Final answer
    x = 32,556.49

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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.