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Finding the Third Proportional to 9,038.81 and 13,901.91

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Solution

The third proportional to 9,038.81 and 13,901.91 is: 21,381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.81 : 13,901.91 = 13,901.91 : x
  2. Step 2: Convert to fraction form
    9,038.81/13,901.91 = 13,901.91/x
  3. Step 3: Cross multiply
    9,038.81x = 13,901.91 × 13,901.91
  4. Step 4: Simplify right side
    9,038.81x = 193,262,997.38
  5. Step 5: Solve for x
    x = 193,262,997.38/9,038.81
  6. Step 6: Final answer
    x = 21,381.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.