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Finding the Third Proportional to 34,133 and 53,429

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Solution

The third proportional to 34,133 and 53,429 is: 83,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,133 : 53,429 = 53,429 : x
  2. Step 2: Convert to fraction form
    34,133/53,429 = 53,429/x
  3. Step 3: Cross multiply
    34,133x = 53,429 × 53,429
  4. Step 4: Simplify right side
    34,133x = 2,854,658,041
  5. Step 5: Solve for x
    x = 2,854,658,041/34,133
  6. Step 6: Final answer
    x = 83,633.38

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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.