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Finding the Third Proportional to 8,825.63 and 12,967.88

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Solution

The third proportional to 8,825.63 and 12,967.88 is: 19,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,825.63 : 12,967.88 = 12,967.88 : x
  2. Step 2: Convert to fraction form
    8,825.63/12,967.88 = 12,967.88/x
  3. Step 3: Cross multiply
    8,825.63x = 12,967.88 × 12,967.88
  4. Step 4: Simplify right side
    8,825.63x = 168,165,782.02
  5. Step 5: Solve for x
    x = 168,165,782.02/8,825.63
  6. Step 6: Final answer
    x = 19,054.26

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