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Finding the Third Proportional to 34,178 and 53,507

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Solution

The third proportional to 34,178 and 53,507 is: 83,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,178 : 53,507 = 53,507 : x
  2. Step 2: Convert to fraction form
    34,178/53,507 = 53,507/x
  3. Step 3: Cross multiply
    34,178x = 53,507 × 53,507
  4. Step 4: Simplify right side
    34,178x = 2,862,999,049
  5. Step 5: Solve for x
    x = 2,862,999,049/34,178
  6. Step 6: Final answer
    x = 83,767.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.