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Finding the Third Proportional to 35,028 and 53,842

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Solution

The third proportional to 35,028 and 53,842 is: 82,761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,028 : 53,842 = 53,842 : x
  2. Step 2: Convert to fraction form
    35,028/53,842 = 53,842/x
  3. Step 3: Cross multiply
    35,028x = 53,842 × 53,842
  4. Step 4: Simplify right side
    35,028x = 2,898,960,964
  5. Step 5: Solve for x
    x = 2,898,960,964/35,028
  6. Step 6: Final answer
    x = 82,761.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.