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Finding the Third Proportional to 19,130.34 and 40,538.81

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Solution

The third proportional to 19,130.34 and 40,538.81 is: 85,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,130.34 : 40,538.81 = 40,538.81 : x
  2. Step 2: Convert to fraction form
    19,130.34/40,538.81 = 40,538.81/x
  3. Step 3: Cross multiply
    19,130.34x = 40,538.81 × 40,538.81
  4. Step 4: Simplify right side
    19,130.34x = 1,643,395,318.91
  5. Step 5: Solve for x
    x = 1,643,395,318.91/19,130.34
  6. Step 6: Final answer
    x = 85,905.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.