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Finding the Third Proportional to 15,409.13 and 32,804.16

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Solution

The third proportional to 15,409.13 and 32,804.16 is: 69,836.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,409.13 : 32,804.16 = 32,804.16 : x
  2. Step 2: Convert to fraction form
    15,409.13/32,804.16 = 32,804.16/x
  3. Step 3: Cross multiply
    15,409.13x = 32,804.16 × 32,804.16
  4. Step 4: Simplify right side
    15,409.13x = 1,076,112,667.27
  5. Step 5: Solve for x
    x = 1,076,112,667.27/15,409.13
  6. Step 6: Final answer
    x = 69,836.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.