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Finding the Third Proportional to 34,583.63 and 53,409.38

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Solution

The third proportional to 34,583.63 and 53,409.38 is: 82,483.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,583.63 : 53,409.38 = 53,409.38 : x
  2. Step 2: Convert to fraction form
    34,583.63/53,409.38 = 53,409.38/x
  3. Step 3: Cross multiply
    34,583.63x = 53,409.38 × 53,409.38
  4. Step 4: Simplify right side
    34,583.63x = 2,852,561,337.89
  5. Step 5: Solve for x
    x = 2,852,561,337.89/34,583.63
  6. Step 6: Final answer
    x = 82,483.01

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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.