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Finding the Third Proportional to 4,242.50 and 4,931

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Solution

The third proportional to 4,242.50 and 4,931 is: 5,731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.50 : 4,931 = 4,931 : x
  2. Step 2: Convert to fraction form
    4,242.50/4,931 = 4,931/x
  3. Step 3: Cross multiply
    4,242.50x = 4,931 × 4,931
  4. Step 4: Simplify right side
    4,242.50x = 24,314,761
  5. Step 5: Solve for x
    x = 24,314,761/4,242.50
  6. Step 6: Final answer
    x = 5,731.23

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.