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Finding the Third Proportional to 53,411 and 83,033

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Solution

The third proportional to 53,411 and 83,033 is: 129,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,411 : 83,033 = 83,033 : x
  2. Step 2: Convert to fraction form
    53,411/83,033 = 83,033/x
  3. Step 3: Cross multiply
    53,411x = 83,033 × 83,033
  4. Step 4: Simplify right side
    53,411x = 6,894,479,089
  5. Step 5: Solve for x
    x = 6,894,479,089/53,411
  6. Step 6: Final answer
    x = 129,083.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.