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Finding the Third Proportional to 25,444.13 and 38,444.63

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Solution

The third proportional to 25,444.13 and 38,444.63 is: 58,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,444.13 : 38,444.63 = 38,444.63 : x
  2. Step 2: Convert to fraction form
    25,444.13/38,444.63 = 38,444.63/x
  3. Step 3: Cross multiply
    25,444.13x = 38,444.63 × 38,444.63
  4. Step 4: Simplify right side
    25,444.13x = 1,477,989,191.39
  5. Step 5: Solve for x
    x = 1,477,989,191.39/25,444.13
  6. Step 6: Final answer
    x = 58,087.64

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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.