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Finding the Third Proportional to 34,658 and 72,937

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Solution

The third proportional to 34,658 and 72,937 is: 153,494.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,658 : 72,937 = 72,937 : x
  2. Step 2: Convert to fraction form
    34,658/72,937 = 72,937/x
  3. Step 3: Cross multiply
    34,658x = 72,937 × 72,937
  4. Step 4: Simplify right side
    34,658x = 5,319,805,969
  5. Step 5: Solve for x
    x = 5,319,805,969/34,658
  6. Step 6: Final answer
    x = 153,494.31

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.