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Finding the Third Proportional to 14,366.53 and 21,462.47

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Solution

The third proportional to 14,366.53 and 21,462.47 is: 32,063.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,366.53 : 21,462.47 = 21,462.47 : x
  2. Step 2: Convert to fraction form
    14,366.53/21,462.47 = 21,462.47/x
  3. Step 3: Cross multiply
    14,366.53x = 21,462.47 × 21,462.47
  4. Step 4: Simplify right side
    14,366.53x = 460,637,564.84
  5. Step 5: Solve for x
    x = 460,637,564.84/14,366.53
  6. Step 6: Final answer
    x = 32,063.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.