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Finding the Third Proportional to 36,259 and 56,033

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Solution

The third proportional to 36,259 and 56,033 is: 86,590.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,259 : 56,033 = 56,033 : x
  2. Step 2: Convert to fraction form
    36,259/56,033 = 56,033/x
  3. Step 3: Cross multiply
    36,259x = 56,033 × 56,033
  4. Step 4: Simplify right side
    36,259x = 3,139,697,089
  5. Step 5: Solve for x
    x = 3,139,697,089/36,259
  6. Step 6: Final answer
    x = 86,590.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.