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Finding the Third Proportional to 12,598.50 and 19,263

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Solution

The third proportional to 12,598.50 and 19,263 is: 29,452.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.50 : 19,263 = 19,263 : x
  2. Step 2: Convert to fraction form
    12,598.50/19,263 = 19,263/x
  3. Step 3: Cross multiply
    12,598.50x = 19,263 × 19,263
  4. Step 4: Simplify right side
    12,598.50x = 371,063,169
  5. Step 5: Solve for x
    x = 371,063,169/12,598.50
  6. Step 6: Final answer
    x = 29,452.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.