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Finding the Third Proportional to 30,545 and 46,726

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Solution

The third proportional to 30,545 and 46,726 is: 71,478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,545 : 46,726 = 46,726 : x
  2. Step 2: Convert to fraction form
    30,545/46,726 = 46,726/x
  3. Step 3: Cross multiply
    30,545x = 46,726 × 46,726
  4. Step 4: Simplify right side
    30,545x = 2,183,319,076
  5. Step 5: Solve for x
    x = 2,183,319,076/30,545
  6. Step 6: Final answer
    x = 71,478.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.