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Finding the Third Proportional to 12,283.50 and 26,319

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Solution

The third proportional to 12,283.50 and 26,319 is: 56,391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.50 : 26,319 = 26,319 : x
  2. Step 2: Convert to fraction form
    12,283.50/26,319 = 26,319/x
  3. Step 3: Cross multiply
    12,283.50x = 26,319 × 26,319
  4. Step 4: Simplify right side
    12,283.50x = 692,689,761
  5. Step 5: Solve for x
    x = 692,689,761/12,283.50
  6. Step 6: Final answer
    x = 56,391.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.