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Finding the Third Proportional to 9,541.13 and 16,925.63

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Solution

The third proportional to 9,541.13 and 16,925.63 is: 30,025.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.13 : 16,925.63 = 16,925.63 : x
  2. Step 2: Convert to fraction form
    9,541.13/16,925.63 = 16,925.63/x
  3. Step 3: Cross multiply
    9,541.13x = 16,925.63 × 16,925.63
  4. Step 4: Simplify right side
    9,541.13x = 286,476,781.64
  5. Step 5: Solve for x
    x = 286,476,781.64/9,541.13
  6. Step 6: Final answer
    x = 30,025.47

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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.