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Finding the Third Proportional to 24,607.13 and 38,175.05

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Solution

The third proportional to 24,607.13 and 38,175.05 is: 59,224.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,607.13 : 38,175.05 = 38,175.05 : x
  2. Step 2: Convert to fraction form
    24,607.13/38,175.05 = 38,175.05/x
  3. Step 3: Cross multiply
    24,607.13x = 38,175.05 × 38,175.05
  4. Step 4: Simplify right side
    24,607.13x = 1,457,334,203.91
  5. Step 5: Solve for x
    x = 1,457,334,203.91/24,607.13
  6. Step 6: Final answer
    x = 59,224.07

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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.