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Finding the Third Proportional to 34,768 and 74,460

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Solution

The third proportional to 34,768 and 74,460 is: 159,465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,768 : 74,460 = 74,460 : x
  2. Step 2: Convert to fraction form
    34,768/74,460 = 74,460/x
  3. Step 3: Cross multiply
    34,768x = 74,460 × 74,460
  4. Step 4: Simplify right side
    34,768x = 5,544,291,600
  5. Step 5: Solve for x
    x = 5,544,291,600/34,768
  6. Step 6: Final answer
    x = 159,465.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.