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Finding the Third Proportional to 4,937 and 5,417

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Solution

The third proportional to 4,937 and 5,417 is: 5,943.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937 : 5,417 = 5,417 : x
  2. Step 2: Convert to fraction form
    4,937/5,417 = 5,417/x
  3. Step 3: Cross multiply
    4,937x = 5,417 × 5,417
  4. Step 4: Simplify right side
    4,937x = 29,343,889
  5. Step 5: Solve for x
    x = 29,343,889/4,937
  6. Step 6: Final answer
    x = 5,943.67

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.