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Finding the Third Proportional to 9,390 and 14,623.88

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Solution

The third proportional to 9,390 and 14,623.88 is: 22,775.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390 : 14,623.88 = 14,623.88 : x
  2. Step 2: Convert to fraction form
    9,390/14,623.88 = 14,623.88/x
  3. Step 3: Cross multiply
    9,390x = 14,623.88 × 14,623.88
  4. Step 4: Simplify right side
    9,390x = 213,857,720.02
  5. Step 5: Solve for x
    x = 213,857,720.02/9,390
  6. Step 6: Final answer
    x = 22,775.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.