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Finding the Third Proportional to 21,386.53 and 32,078.53

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Solution

The third proportional to 21,386.53 and 32,078.53 is: 48,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,386.53 : 32,078.53 = 32,078.53 : x
  2. Step 2: Convert to fraction form
    21,386.53/32,078.53 = 32,078.53/x
  3. Step 3: Cross multiply
    21,386.53x = 32,078.53 × 32,078.53
  4. Step 4: Simplify right side
    21,386.53x = 1,029,032,167.16
  5. Step 5: Solve for x
    x = 1,029,032,167.16/21,386.53
  6. Step 6: Final answer
    x = 48,115.90

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