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Finding the Third Proportional to 4,711.50 and 9,907.88

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Solution

The third proportional to 4,711.50 and 9,907.88 is: 20,835.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.50 : 9,907.88 = 9,907.88 : x
  2. Step 2: Convert to fraction form
    4,711.50/9,907.88 = 9,907.88/x
  3. Step 3: Cross multiply
    4,711.50x = 9,907.88 × 9,907.88
  4. Step 4: Simplify right side
    4,711.50x = 98,165,987.02
  5. Step 5: Solve for x
    x = 98,165,987.02/4,711.50
  6. Step 6: Final answer
    x = 20,835.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.