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Finding the Third Proportional to 15,433.50 and 23,048.63

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Solution

The third proportional to 15,433.50 and 23,048.63 is: 34,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,433.50 : 23,048.63 = 23,048.63 : x
  2. Step 2: Convert to fraction form
    15,433.50/23,048.63 = 23,048.63/x
  3. Step 3: Cross multiply
    15,433.50x = 23,048.63 × 23,048.63
  4. Step 4: Simplify right side
    15,433.50x = 531,239,114.39
  5. Step 5: Solve for x
    x = 531,239,114.39/15,433.50
  6. Step 6: Final answer
    x = 34,421.17

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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.