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Finding the Third Proportional to 1,352.64 and 2,970.11

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Solution

The third proportional to 1,352.64 and 2,970.11 is: 6,521.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.64 : 2,970.11 = 2,970.11 : x
  2. Step 2: Convert to fraction form
    1,352.64/2,970.11 = 2,970.11/x
  3. Step 3: Cross multiply
    1,352.64x = 2,970.11 × 2,970.11
  4. Step 4: Simplify right side
    1,352.64x = 8,821,526.50
  5. Step 5: Solve for x
    x = 8,821,526.50/1,352.64
  6. Step 6: Final answer
    x = 6,521.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.