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Finding the Third Proportional to 10,253.16 and 14,661.94

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Solution

The third proportional to 10,253.16 and 14,661.94 is: 20,966.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.16 : 14,661.94 = 14,661.94 : x
  2. Step 2: Convert to fraction form
    10,253.16/14,661.94 = 14,661.94/x
  3. Step 3: Cross multiply
    10,253.16x = 14,661.94 × 14,661.94
  4. Step 4: Simplify right side
    10,253.16x = 214,972,411.25
  5. Step 5: Solve for x
    x = 214,972,411.25/10,253.16
  6. Step 6: Final answer
    x = 20,966.46

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.