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Finding the Third Proportional to 34,702 and 75,349.50

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Solution

The third proportional to 34,702 and 75,349.50 is: 163,608.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,702 : 75,349.50 = 75,349.50 : x
  2. Step 2: Convert to fraction form
    34,702/75,349.50 = 75,349.50/x
  3. Step 3: Cross multiply
    34,702x = 75,349.50 × 75,349.50
  4. Step 4: Simplify right side
    34,702x = 5,677,547,150.25
  5. Step 5: Solve for x
    x = 5,677,547,150.25/34,702
  6. Step 6: Final answer
    x = 163,608.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.