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Finding the Third Proportional to 25,429.50 and 36,686.25

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Solution

The third proportional to 25,429.50 and 36,686.25 is: 52,925.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,429.50 : 36,686.25 = 36,686.25 : x
  2. Step 2: Convert to fraction form
    25,429.50/36,686.25 = 36,686.25/x
  3. Step 3: Cross multiply
    25,429.50x = 36,686.25 × 36,686.25
  4. Step 4: Simplify right side
    25,429.50x = 1,345,880,939.06
  5. Step 5: Solve for x
    x = 1,345,880,939.06/25,429.50
  6. Step 6: Final answer
    x = 52,925.97

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.