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Finding the Third Proportional to 21,565 and 32,924

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Solution

The third proportional to 21,565 and 32,924 is: 50,266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,565 : 32,924 = 32,924 : x
  2. Step 2: Convert to fraction form
    21,565/32,924 = 32,924/x
  3. Step 3: Cross multiply
    21,565x = 32,924 × 32,924
  4. Step 4: Simplify right side
    21,565x = 1,083,989,776
  5. Step 5: Solve for x
    x = 1,083,989,776/21,565
  6. Step 6: Final answer
    x = 50,266.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.