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Finding the Third Proportional to 34,240 and 48,076

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Solution

The third proportional to 34,240 and 48,076 is: 67,502.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,240 : 48,076 = 48,076 : x
  2. Step 2: Convert to fraction form
    34,240/48,076 = 48,076/x
  3. Step 3: Cross multiply
    34,240x = 48,076 × 48,076
  4. Step 4: Simplify right side
    34,240x = 2,311,301,776
  5. Step 5: Solve for x
    x = 2,311,301,776/34,240
  6. Step 6: Final answer
    x = 67,502.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.