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Finding the Third Proportional to 10,303 and 15,940

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Solution

The third proportional to 10,303 and 15,940 is: 24,661.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303 : 15,940 = 15,940 : x
  2. Step 2: Convert to fraction form
    10,303/15,940 = 15,940/x
  3. Step 3: Cross multiply
    10,303x = 15,940 × 15,940
  4. Step 4: Simplify right side
    10,303x = 254,083,600
  5. Step 5: Solve for x
    x = 254,083,600/10,303
  6. Step 6: Final answer
    x = 24,661.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.