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Finding the Third Proportional to 14,291.44 and 19,445.06

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Solution

The third proportional to 14,291.44 and 19,445.06 is: 26,457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.44 : 19,445.06 = 19,445.06 : x
  2. Step 2: Convert to fraction form
    14,291.44/19,445.06 = 19,445.06/x
  3. Step 3: Cross multiply
    14,291.44x = 19,445.06 × 19,445.06
  4. Step 4: Simplify right side
    14,291.44x = 378,110,455.63
  5. Step 5: Solve for x
    x = 378,110,455.63/14,291.44
  6. Step 6: Final answer
    x = 26,457.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.