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Finding the Third Proportional to 21,303 and 32,582.25

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Solution

The third proportional to 21,303 and 32,582.25 is: 49,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,303 : 32,582.25 = 32,582.25 : x
  2. Step 2: Convert to fraction form
    21,303/32,582.25 = 32,582.25/x
  3. Step 3: Cross multiply
    21,303x = 32,582.25 × 32,582.25
  4. Step 4: Simplify right side
    21,303x = 1,061,603,015.06
  5. Step 5: Solve for x
    x = 1,061,603,015.06/21,303
  6. Step 6: Final answer
    x = 49,833.50

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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.