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Finding the Third Proportional to 9,680.63 and 14,887.69

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Solution

The third proportional to 9,680.63 and 14,887.69 is: 22,895.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.63 : 14,887.69 = 14,887.69 : x
  2. Step 2: Convert to fraction form
    9,680.63/14,887.69 = 14,887.69/x
  3. Step 3: Cross multiply
    9,680.63x = 14,887.69 × 14,887.69
  4. Step 4: Simplify right side
    9,680.63x = 221,643,239.10
  5. Step 5: Solve for x
    x = 221,643,239.10/9,680.63
  6. Step 6: Final answer
    x = 22,895.55

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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.