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Finding the Third Proportional to 4,352.63 and 9,319.88

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Solution

The third proportional to 4,352.63 and 9,319.88 is: 19,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,352.63 : 9,319.88 = 9,319.88 : x
  2. Step 2: Convert to fraction form
    4,352.63/9,319.88 = 9,319.88/x
  3. Step 3: Cross multiply
    4,352.63x = 9,319.88 × 9,319.88
  4. Step 4: Simplify right side
    4,352.63x = 86,860,070.02
  5. Step 5: Solve for x
    x = 86,860,070.02/4,352.63
  6. Step 6: Final answer
    x = 19,955.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.