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Finding the Third Proportional to 21,303 and 38,452.50

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Solution

The third proportional to 21,303 and 38,452.50 is: 69,407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,303 : 38,452.50 = 38,452.50 : x
  2. Step 2: Convert to fraction form
    21,303/38,452.50 = 38,452.50/x
  3. Step 3: Cross multiply
    21,303x = 38,452.50 × 38,452.50
  4. Step 4: Simplify right side
    21,303x = 1,478,594,756.25
  5. Step 5: Solve for x
    x = 1,478,594,756.25/21,303
  6. Step 6: Final answer
    x = 69,407.82

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.