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Finding the Third Proportional to 13,605.47 and 21,023.72

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Solution

The third proportional to 13,605.47 and 21,023.72 is: 32,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.47 : 21,023.72 = 21,023.72 : x
  2. Step 2: Convert to fraction form
    13,605.47/21,023.72 = 21,023.72/x
  3. Step 3: Cross multiply
    13,605.47x = 21,023.72 × 21,023.72
  4. Step 4: Simplify right side
    13,605.47x = 441,996,750.08
  5. Step 5: Solve for x
    x = 441,996,750.08/13,605.47
  6. Step 6: Final answer
    x = 32,486.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.