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Finding the Third Proportional to 9,877 and 15,283.50

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Solution

The third proportional to 9,877 and 15,283.50 is: 23,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877 : 15,283.50 = 15,283.50 : x
  2. Step 2: Convert to fraction form
    9,877/15,283.50 = 15,283.50/x
  3. Step 3: Cross multiply
    9,877x = 15,283.50 × 15,283.50
  4. Step 4: Simplify right side
    9,877x = 233,585,372.25
  5. Step 5: Solve for x
    x = 233,585,372.25/9,877
  6. Step 6: Final answer
    x = 23,649.43

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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.