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Finding the Third Proportional to 973.90 and 1,516.38

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Solution

The third proportional to 973.90 and 1,516.38 is: 2,361.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.90 : 1,516.38 = 1,516.38 : x
  2. Step 2: Convert to fraction form
    973.90/1,516.38 = 1,516.38/x
  3. Step 3: Cross multiply
    973.90x = 1,516.38 × 1,516.38
  4. Step 4: Simplify right side
    973.90x = 2,299,399.06
  5. Step 5: Solve for x
    x = 2,299,399.06/973.90
  6. Step 6: Final answer
    x = 2,361.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.