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Finding the Third Proportional to 16,722.86 and 22,931.46

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Solution

The third proportional to 16,722.86 and 22,931.46 is: 31,445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,722.86 : 22,931.46 = 22,931.46 : x
  2. Step 2: Convert to fraction form
    16,722.86/22,931.46 = 22,931.46/x
  3. Step 3: Cross multiply
    16,722.86x = 22,931.46 × 22,931.46
  4. Step 4: Simplify right side
    16,722.86x = 525,852,035.09
  5. Step 5: Solve for x
    x = 525,852,035.09/16,722.86
  6. Step 6: Final answer
    x = 31,445.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.