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Finding the Third Proportional to 10,393 and 15,756.50

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Solution

The third proportional to 10,393 and 15,756.50 is: 23,887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393 : 15,756.50 = 15,756.50 : x
  2. Step 2: Convert to fraction form
    10,393/15,756.50 = 15,756.50/x
  3. Step 3: Cross multiply
    10,393x = 15,756.50 × 15,756.50
  4. Step 4: Simplify right side
    10,393x = 248,267,292.25
  5. Step 5: Solve for x
    x = 248,267,292.25/10,393
  6. Step 6: Final answer
    x = 23,887.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.