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Finding the Third Proportional to 19,748 and 28,926

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Solution

The third proportional to 19,748 and 28,926 is: 42,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,748 : 28,926 = 28,926 : x
  2. Step 2: Convert to fraction form
    19,748/28,926 = 28,926/x
  3. Step 3: Cross multiply
    19,748x = 28,926 × 28,926
  4. Step 4: Simplify right side
    19,748x = 836,713,476
  5. Step 5: Solve for x
    x = 836,713,476/19,748
  6. Step 6: Final answer
    x = 42,369.53

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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.