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Finding the Third Proportional to 32,437 and 70,895

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Solution

The third proportional to 32,437 and 70,895 is: 154,949.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,437 : 70,895 = 70,895 : x
  2. Step 2: Convert to fraction form
    32,437/70,895 = 70,895/x
  3. Step 3: Cross multiply
    32,437x = 70,895 × 70,895
  4. Step 4: Simplify right side
    32,437x = 5,026,101,025
  5. Step 5: Solve for x
    x = 5,026,101,025/32,437
  6. Step 6: Final answer
    x = 154,949.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.