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Finding the Third Proportional to 15,673.50 and 24,296.63

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Solution

The third proportional to 15,673.50 and 24,296.63 is: 37,663.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,673.50 : 24,296.63 = 24,296.63 : x
  2. Step 2: Convert to fraction form
    15,673.50/24,296.63 = 24,296.63/x
  3. Step 3: Cross multiply
    15,673.50x = 24,296.63 × 24,296.63
  4. Step 4: Simplify right side
    15,673.50x = 590,325,986.39
  5. Step 5: Solve for x
    x = 590,325,986.39/15,673.50
  6. Step 6: Final answer
    x = 37,663.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.