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Finding the Third Proportional to 34,484 and 53,609

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Solution

The third proportional to 34,484 and 53,609 is: 83,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,484 : 53,609 = 53,609 : x
  2. Step 2: Convert to fraction form
    34,484/53,609 = 53,609/x
  3. Step 3: Cross multiply
    34,484x = 53,609 × 53,609
  4. Step 4: Simplify right side
    34,484x = 2,873,924,881
  5. Step 5: Solve for x
    x = 2,873,924,881/34,484
  6. Step 6: Final answer
    x = 83,340.82

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