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Finding the Third Proportional to 34,148 and 46,034

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Solution

The third proportional to 34,148 and 46,034 is: 62,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,148 : 46,034 = 46,034 : x
  2. Step 2: Convert to fraction form
    34,148/46,034 = 46,034/x
  3. Step 3: Cross multiply
    34,148x = 46,034 × 46,034
  4. Step 4: Simplify right side
    34,148x = 2,119,129,156
  5. Step 5: Solve for x
    x = 2,119,129,156/34,148
  6. Step 6: Final answer
    x = 62,057.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.