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Finding the Third Proportional to 21,924 and 32,977.13

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Solution

The third proportional to 21,924 and 32,977.13 is: 49,602.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,924 : 32,977.13 = 32,977.13 : x
  2. Step 2: Convert to fraction form
    21,924/32,977.13 = 32,977.13/x
  3. Step 3: Cross multiply
    21,924x = 32,977.13 × 32,977.13
  4. Step 4: Simplify right side
    21,924x = 1,087,490,773.27
  5. Step 5: Solve for x
    x = 1,087,490,773.27/21,924
  6. Step 6: Final answer
    x = 49,602.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.