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Finding the Third Proportional to 14,925.09 and 20,282.06

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Solution

The third proportional to 14,925.09 and 20,282.06 is: 27,561.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,925.09 : 20,282.06 = 20,282.06 : x
  2. Step 2: Convert to fraction form
    14,925.09/20,282.06 = 20,282.06/x
  3. Step 3: Cross multiply
    14,925.09x = 20,282.06 × 20,282.06
  4. Step 4: Simplify right side
    14,925.09x = 411,362,059.25
  5. Step 5: Solve for x
    x = 411,362,059.25/14,925.09
  6. Step 6: Final answer
    x = 27,561.77

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.