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Finding the Third Proportional to 9,978 and 14,528

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Solution

The third proportional to 9,978 and 14,528 is: 21,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978 : 14,528 = 14,528 : x
  2. Step 2: Convert to fraction form
    9,978/14,528 = 14,528/x
  3. Step 3: Cross multiply
    9,978x = 14,528 × 14,528
  4. Step 4: Simplify right side
    9,978x = 211,062,784
  5. Step 5: Solve for x
    x = 211,062,784/9,978
  6. Step 6: Final answer
    x = 21,152.81

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.