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Finding the Third Proportional to 19,655.16 and 42,438.94

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Solution

The third proportional to 19,655.16 and 42,438.94 is: 91,633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,655.16 : 42,438.94 = 42,438.94 : x
  2. Step 2: Convert to fraction form
    19,655.16/42,438.94 = 42,438.94/x
  3. Step 3: Cross multiply
    19,655.16x = 42,438.94 × 42,438.94
  4. Step 4: Simplify right side
    19,655.16x = 1,801,063,416.13
  5. Step 5: Solve for x
    x = 1,801,063,416.13/19,655.16
  6. Step 6: Final answer
    x = 91,633.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.