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Finding the Third Proportional to 19,357.88 and 42,406.88

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Solution

The third proportional to 19,357.88 and 42,406.88 is: 92,899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,357.88 : 42,406.88 = 42,406.88 : x
  2. Step 2: Convert to fraction form
    19,357.88/42,406.88 = 42,406.88/x
  3. Step 3: Cross multiply
    19,357.88x = 42,406.88 × 42,406.88
  4. Step 4: Simplify right side
    19,357.88x = 1,798,343,047.27
  5. Step 5: Solve for x
    x = 1,798,343,047.27/19,357.88
  6. Step 6: Final answer
    x = 92,899.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.