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Finding the Third Proportional to 9,036 and 14,428.50

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Solution

The third proportional to 9,036 and 14,428.50 is: 23,039.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,036 : 14,428.50 = 14,428.50 : x
  2. Step 2: Convert to fraction form
    9,036/14,428.50 = 14,428.50/x
  3. Step 3: Cross multiply
    9,036x = 14,428.50 × 14,428.50
  4. Step 4: Simplify right side
    9,036x = 208,181,612.25
  5. Step 5: Solve for x
    x = 208,181,612.25/9,036
  6. Step 6: Final answer
    x = 23,039.13

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.