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Finding the Third Proportional to 30,503.25 and 46,342.13

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Solution

The third proportional to 30,503.25 and 46,342.13 is: 70,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,503.25 : 46,342.13 = 46,342.13 : x
  2. Step 2: Convert to fraction form
    30,503.25/46,342.13 = 46,342.13/x
  3. Step 3: Cross multiply
    30,503.25x = 46,342.13 × 46,342.13
  4. Step 4: Simplify right side
    30,503.25x = 2,147,592,549.52
  5. Step 5: Solve for x
    x = 2,147,592,549.52/30,503.25
  6. Step 6: Final answer
    x = 70,405.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.