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Finding the Third Proportional to 16,442.16 and 24,047.72

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Solution

The third proportional to 16,442.16 and 24,047.72 is: 35,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442.16 : 24,047.72 = 24,047.72 : x
  2. Step 2: Convert to fraction form
    16,442.16/24,047.72 = 24,047.72/x
  3. Step 3: Cross multiply
    16,442.16x = 24,047.72 × 24,047.72
  4. Step 4: Simplify right side
    16,442.16x = 578,292,777.08
  5. Step 5: Solve for x
    x = 578,292,777.08/16,442.16
  6. Step 6: Final answer
    x = 35,171.35

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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.