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Finding the Third Proportional to 46,788 and 71,574

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Solution

The third proportional to 46,788 and 71,574 is: 109,490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,788 : 71,574 = 71,574 : x
  2. Step 2: Convert to fraction form
    46,788/71,574 = 71,574/x
  3. Step 3: Cross multiply
    46,788x = 71,574 × 71,574
  4. Step 4: Simplify right side
    46,788x = 5,122,837,476
  5. Step 5: Solve for x
    x = 5,122,837,476/46,788
  6. Step 6: Final answer
    x = 109,490.41

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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.