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Finding the Third Proportional to 14,892.19 and 23,155.13

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Solution

The third proportional to 14,892.19 and 23,155.13 is: 36,002.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,892.19 : 23,155.13 = 23,155.13 : x
  2. Step 2: Convert to fraction form
    14,892.19/23,155.13 = 23,155.13/x
  3. Step 3: Cross multiply
    14,892.19x = 23,155.13 × 23,155.13
  4. Step 4: Simplify right side
    14,892.19x = 536,159,813.77
  5. Step 5: Solve for x
    x = 536,159,813.77/14,892.19
  6. Step 6: Final answer
    x = 36,002.76

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Why These Related Problems?

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