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Finding the Third Proportional to 24,590.25 and 35,931.38

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Solution

The third proportional to 24,590.25 and 35,931.38 is: 52,503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,590.25 : 35,931.38 = 35,931.38 : x
  2. Step 2: Convert to fraction form
    24,590.25/35,931.38 = 35,931.38/x
  3. Step 3: Cross multiply
    24,590.25x = 35,931.38 × 35,931.38
  4. Step 4: Simplify right side
    24,590.25x = 1,291,063,709.39
  5. Step 5: Solve for x
    x = 1,291,063,709.39/24,590.25
  6. Step 6: Final answer
    x = 52,503.07

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.