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Finding the Third Proportional to 14,694.66 and 32,123.06

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Solution

The third proportional to 14,694.66 and 32,123.06 is: 70,222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,694.66 : 32,123.06 = 32,123.06 : x
  2. Step 2: Convert to fraction form
    14,694.66/32,123.06 = 32,123.06/x
  3. Step 3: Cross multiply
    14,694.66x = 32,123.06 × 32,123.06
  4. Step 4: Simplify right side
    14,694.66x = 1,031,891,144.38
  5. Step 5: Solve for x
    x = 1,031,891,144.38/14,694.66
  6. Step 6: Final answer
    x = 70,222.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.