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Finding the Third Proportional to 12,119.25 and 17,779.88

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Solution

The third proportional to 12,119.25 and 17,779.88 is: 26,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.25 : 17,779.88 = 17,779.88 : x
  2. Step 2: Convert to fraction form
    12,119.25/17,779.88 = 17,779.88/x
  3. Step 3: Cross multiply
    12,119.25x = 17,779.88 × 17,779.88
  4. Step 4: Simplify right side
    12,119.25x = 316,123,955.02
  5. Step 5: Solve for x
    x = 316,123,955.02/12,119.25
  6. Step 6: Final answer
    x = 26,084.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.