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Finding the Third Proportional to 4,532 and 4,964

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Solution

The third proportional to 4,532 and 4,964 is: 5,437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532 : 4,964 = 4,964 : x
  2. Step 2: Convert to fraction form
    4,532/4,964 = 4,964/x
  3. Step 3: Cross multiply
    4,532x = 4,964 × 4,964
  4. Step 4: Simplify right side
    4,532x = 24,641,296
  5. Step 5: Solve for x
    x = 24,641,296/4,532
  6. Step 6: Final answer
    x = 5,437.18

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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.