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Finding the Third Proportional to 30,184 and 45,926

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Solution

The third proportional to 30,184 and 45,926 is: 69,878.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,184 : 45,926 = 45,926 : x
  2. Step 2: Convert to fraction form
    30,184/45,926 = 45,926/x
  3. Step 3: Cross multiply
    30,184x = 45,926 × 45,926
  4. Step 4: Simplify right side
    30,184x = 2,109,197,476
  5. Step 5: Solve for x
    x = 2,109,197,476/30,184
  6. Step 6: Final answer
    x = 69,878.00

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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.