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Finding the Third Proportional to 30,907.50 and 46,340

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Solution

The third proportional to 30,907.50 and 46,340 is: 69,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907.50 : 46,340 = 46,340 : x
  2. Step 2: Convert to fraction form
    30,907.50/46,340 = 46,340/x
  3. Step 3: Cross multiply
    30,907.50x = 46,340 × 46,340
  4. Step 4: Simplify right side
    30,907.50x = 2,147,395,600
  5. Step 5: Solve for x
    x = 2,147,395,600/30,907.50
  6. Step 6: Final answer
    x = 69,478.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.