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Finding the Third Proportional to 973.90 and 1,566.21

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Solution

The third proportional to 973.90 and 1,566.21 is: 2,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.90 : 1,566.21 = 1,566.21 : x
  2. Step 2: Convert to fraction form
    973.90/1,566.21 = 1,566.21/x
  3. Step 3: Cross multiply
    973.90x = 1,566.21 × 1,566.21
  4. Step 4: Simplify right side
    973.90x = 2,453,016.70
  5. Step 5: Solve for x
    x = 2,453,016.70/973.90
  6. Step 6: Final answer
    x = 2,518.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.