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Finding the Third Proportional to 9,585 and 14,055.19

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Solution

The third proportional to 9,585 and 14,055.19 is: 20,610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585 : 14,055.19 = 14,055.19 : x
  2. Step 2: Convert to fraction form
    9,585/14,055.19 = 14,055.19/x
  3. Step 3: Cross multiply
    9,585x = 14,055.19 × 14,055.19
  4. Step 4: Simplify right side
    9,585x = 197,548,295.66
  5. Step 5: Solve for x
    x = 197,548,295.66/9,585
  6. Step 6: Final answer
    x = 20,610.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.