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Finding the Third Proportional to 22,680 and 32,718.94

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Solution

The third proportional to 22,680 and 32,718.94 is: 47,201.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,680 : 32,718.94 = 32,718.94 : x
  2. Step 2: Convert to fraction form
    22,680/32,718.94 = 32,718.94/x
  3. Step 3: Cross multiply
    22,680x = 32,718.94 × 32,718.94
  4. Step 4: Simplify right side
    22,680x = 1,070,528,871.13
  5. Step 5: Solve for x
    x = 1,070,528,871.13/22,680
  6. Step 6: Final answer
    x = 47,201.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.