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Finding the Third Proportional to 24,261 and 36,829.50

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Solution

The third proportional to 24,261 and 36,829.50 is: 55,909.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,261 : 36,829.50 = 36,829.50 : x
  2. Step 2: Convert to fraction form
    24,261/36,829.50 = 36,829.50/x
  3. Step 3: Cross multiply
    24,261x = 36,829.50 × 36,829.50
  4. Step 4: Simplify right side
    24,261x = 1,356,412,070.25
  5. Step 5: Solve for x
    x = 1,356,412,070.25/24,261
  6. Step 6: Final answer
    x = 55,909.16

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.