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Finding the Third Proportional to 9,689.34 and 14,534.16

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Solution

The third proportional to 9,689.34 and 14,534.16 is: 21,801.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.34 : 14,534.16 = 14,534.16 : x
  2. Step 2: Convert to fraction form
    9,689.34/14,534.16 = 14,534.16/x
  3. Step 3: Cross multiply
    9,689.34x = 14,534.16 × 14,534.16
  4. Step 4: Simplify right side
    9,689.34x = 211,241,697.90
  5. Step 5: Solve for x
    x = 211,241,697.90/9,689.34
  6. Step 6: Final answer
    x = 21,801.45

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Why These Related Problems?

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