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Finding the Third Proportional to 30,260 and 46,030

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Solution

The third proportional to 30,260 and 46,030 is: 70,018.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,260 : 46,030 = 46,030 : x
  2. Step 2: Convert to fraction form
    30,260/46,030 = 46,030/x
  3. Step 3: Cross multiply
    30,260x = 46,030 × 46,030
  4. Step 4: Simplify right side
    30,260x = 2,118,760,900
  5. Step 5: Solve for x
    x = 2,118,760,900/30,260
  6. Step 6: Final answer
    x = 70,018.54

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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.