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Finding the Third Proportional to 34,988 and 74,648

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Solution

The third proportional to 34,988 and 74,648 is: 159,263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,988 : 74,648 = 74,648 : x
  2. Step 2: Convert to fraction form
    34,988/74,648 = 74,648/x
  3. Step 3: Cross multiply
    34,988x = 74,648 × 74,648
  4. Step 4: Simplify right side
    34,988x = 5,572,323,904
  5. Step 5: Solve for x
    x = 5,572,323,904/34,988
  6. Step 6: Final answer
    x = 159,263.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.