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Finding the Third Proportional to 15,460.88 and 23,135.63

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Solution

The third proportional to 15,460.88 and 23,135.63 is: 34,620.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,460.88 : 23,135.63 = 23,135.63 : x
  2. Step 2: Convert to fraction form
    15,460.88/23,135.63 = 23,135.63/x
  3. Step 3: Cross multiply
    15,460.88x = 23,135.63 × 23,135.63
  4. Step 4: Simplify right side
    15,460.88x = 535,257,144.14
  5. Step 5: Solve for x
    x = 535,257,144.14/15,460.88
  6. Step 6: Final answer
    x = 34,620.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.