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Finding the Third Proportional to 13,217.25 and 19,460.63

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Solution

The third proportional to 13,217.25 and 19,460.63 is: 28,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,217.25 : 19,460.63 = 19,460.63 : x
  2. Step 2: Convert to fraction form
    13,217.25/19,460.63 = 19,460.63/x
  3. Step 3: Cross multiply
    13,217.25x = 19,460.63 × 19,460.63
  4. Step 4: Simplify right side
    13,217.25x = 378,715,925.39
  5. Step 5: Solve for x
    x = 378,715,925.39/13,217.25
  6. Step 6: Final answer
    x = 28,653.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.