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Finding the Third Proportional to 25,302.38 and 39,350.81

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Solution

The third proportional to 25,302.38 and 39,350.81 is: 61,199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,302.38 : 39,350.81 = 39,350.81 : x
  2. Step 2: Convert to fraction form
    25,302.38/39,350.81 = 39,350.81/x
  3. Step 3: Cross multiply
    25,302.38x = 39,350.81 × 39,350.81
  4. Step 4: Simplify right side
    25,302.38x = 1,548,486,444.41
  5. Step 5: Solve for x
    x = 1,548,486,444.41/25,302.38
  6. Step 6: Final answer
    x = 61,199.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.