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Finding the Third Proportional to 9,301.50 and 14,036.06

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Solution

The third proportional to 9,301.50 and 14,036.06 is: 21,180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.50 : 14,036.06 = 14,036.06 : x
  2. Step 2: Convert to fraction form
    9,301.50/14,036.06 = 14,036.06/x
  3. Step 3: Cross multiply
    9,301.50x = 14,036.06 × 14,036.06
  4. Step 4: Simplify right side
    9,301.50x = 197,011,050.50
  5. Step 5: Solve for x
    x = 197,011,050.50/9,301.50
  6. Step 6: Final answer
    x = 21,180.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.