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Finding the Third Proportional to 10,080.23 and 14,098.75

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Solution

The third proportional to 10,080.23 and 14,098.75 is: 19,719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080.23 : 14,098.75 = 14,098.75 : x
  2. Step 2: Convert to fraction form
    10,080.23/14,098.75 = 14,098.75/x
  3. Step 3: Cross multiply
    10,080.23x = 14,098.75 × 14,098.75
  4. Step 4: Simplify right side
    10,080.23x = 198,774,641.42
  5. Step 5: Solve for x
    x = 198,774,641.42/10,080.23
  6. Step 6: Final answer
    x = 19,719.26

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.