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Finding the Third Proportional to 10,830.38 and 14,598.56

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Solution

The third proportional to 10,830.38 and 14,598.56 is: 19,677.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.38 : 14,598.56 = 14,598.56 : x
  2. Step 2: Convert to fraction form
    10,830.38/14,598.56 = 14,598.56/x
  3. Step 3: Cross multiply
    10,830.38x = 14,598.56 × 14,598.56
  4. Step 4: Simplify right side
    10,830.38x = 213,118,027.07
  5. Step 5: Solve for x
    x = 213,118,027.07/10,830.38
  6. Step 6: Final answer
    x = 19,677.81

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.