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Finding the Third Proportional to 9,041.34 and 13,553.16

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Solution

The third proportional to 9,041.34 and 13,553.16 is: 20,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041.34 : 13,553.16 = 13,553.16 : x
  2. Step 2: Convert to fraction form
    9,041.34/13,553.16 = 13,553.16/x
  3. Step 3: Cross multiply
    9,041.34x = 13,553.16 × 13,553.16
  4. Step 4: Simplify right side
    9,041.34x = 183,688,044.34
  5. Step 5: Solve for x
    x = 183,688,044.34/9,041.34
  6. Step 6: Final answer
    x = 20,316.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.