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Finding the Third Proportional to 21,465 and 28,293.50

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Solution

The third proportional to 21,465 and 28,293.50 is: 37,294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,465 : 28,293.50 = 28,293.50 : x
  2. Step 2: Convert to fraction form
    21,465/28,293.50 = 28,293.50/x
  3. Step 3: Cross multiply
    21,465x = 28,293.50 × 28,293.50
  4. Step 4: Simplify right side
    21,465x = 800,522,142.25
  5. Step 5: Solve for x
    x = 800,522,142.25/21,465
  6. Step 6: Final answer
    x = 37,294.30

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.