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Finding the Third Proportional to 9,863.63 and 15,280.13

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Solution

The third proportional to 9,863.63 and 15,280.13 is: 23,671.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.63 : 15,280.13 = 15,280.13 : x
  2. Step 2: Convert to fraction form
    9,863.63/15,280.13 = 15,280.13/x
  3. Step 3: Cross multiply
    9,863.63x = 15,280.13 × 15,280.13
  4. Step 4: Simplify right side
    9,863.63x = 233,482,220.02
  5. Step 5: Solve for x
    x = 233,482,220.02/9,863.63
  6. Step 6: Final answer
    x = 23,671.04

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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.