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Finding the Third Proportional to 13,065.89 and 19,291.08

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Solution

The third proportional to 13,065.89 and 19,291.08 is: 28,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065.89 : 19,291.08 = 19,291.08 : x
  2. Step 2: Convert to fraction form
    13,065.89/19,291.08 = 19,291.08/x
  3. Step 3: Cross multiply
    13,065.89x = 19,291.08 × 19,291.08
  4. Step 4: Simplify right side
    13,065.89x = 372,145,695.22
  5. Step 5: Solve for x
    x = 372,145,695.22/13,065.89
  6. Step 6: Final answer
    x = 28,482.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.