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Finding the Third Proportional to 25,191.28 and 38,070.42

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Solution

The third proportional to 25,191.28 and 38,070.42 is: 57,534.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,191.28 : 38,070.42 = 38,070.42 : x
  2. Step 2: Convert to fraction form
    25,191.28/38,070.42 = 38,070.42/x
  3. Step 3: Cross multiply
    25,191.28x = 38,070.42 × 38,070.42
  4. Step 4: Simplify right side
    25,191.28x = 1,449,357,021.74
  5. Step 5: Solve for x
    x = 1,449,357,021.74/25,191.28
  6. Step 6: Final answer
    x = 57,534.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.