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Finding the Third Proportional to 25,994.25 and 38,818.13

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Solution

The third proportional to 25,994.25 and 38,818.13 is: 57,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,994.25 : 38,818.13 = 38,818.13 : x
  2. Step 2: Convert to fraction form
    25,994.25/38,818.13 = 38,818.13/x
  3. Step 3: Cross multiply
    25,994.25x = 38,818.13 × 38,818.13
  4. Step 4: Simplify right side
    25,994.25x = 1,506,846,828.52
  5. Step 5: Solve for x
    x = 1,506,846,828.52/25,994.25
  6. Step 6: Final answer
    x = 57,968.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.