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Finding the Third Proportional to 32,410.13 and 36,784.13

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Solution

The third proportional to 32,410.13 and 36,784.13 is: 41,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,410.13 : 36,784.13 = 36,784.13 : x
  2. Step 2: Convert to fraction form
    32,410.13/36,784.13 = 36,784.13/x
  3. Step 3: Cross multiply
    32,410.13x = 36,784.13 × 36,784.13
  4. Step 4: Simplify right side
    32,410.13x = 1,353,071,852.02
  5. Step 5: Solve for x
    x = 1,353,071,852.02/32,410.13
  6. Step 6: Final answer
    x = 41,748.43

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.