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Finding the Third Proportional to 19,602 and 29,862

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Solution

The third proportional to 19,602 and 29,862 is: 45,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,602 : 29,862 = 29,862 : x
  2. Step 2: Convert to fraction form
    19,602/29,862 = 29,862/x
  3. Step 3: Cross multiply
    19,602x = 29,862 × 29,862
  4. Step 4: Simplify right side
    19,602x = 891,739,044
  5. Step 5: Solve for x
    x = 891,739,044/19,602
  6. Step 6: Final answer
    x = 45,492.25

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Why These Related Problems?

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