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Finding the Third Proportional to 24,925.50 and 38,036.25

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Solution

The third proportional to 24,925.50 and 38,036.25 is: 58,043.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,925.50 : 38,036.25 = 38,036.25 : x
  2. Step 2: Convert to fraction form
    24,925.50/38,036.25 = 38,036.25/x
  3. Step 3: Cross multiply
    24,925.50x = 38,036.25 × 38,036.25
  4. Step 4: Simplify right side
    24,925.50x = 1,446,756,314.06
  5. Step 5: Solve for x
    x = 1,446,756,314.06/24,925.50
  6. Step 6: Final answer
    x = 58,043.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.