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Finding the Third Proportional to 34,636.99 and 53,484.68

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Solution

The third proportional to 34,636.99 and 53,484.68 is: 82,588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,636.99 : 53,484.68 = 53,484.68 : x
  2. Step 2: Convert to fraction form
    34,636.99/53,484.68 = 53,484.68/x
  3. Step 3: Cross multiply
    34,636.99x = 53,484.68 × 53,484.68
  4. Step 4: Simplify right side
    34,636.99x = 2,860,610,961.27
  5. Step 5: Solve for x
    x = 2,860,610,961.27/34,636.99
  6. Step 6: Final answer
    x = 82,588.32

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