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Finding the Third Proportional to 14,715 and 22,514.63

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Solution

The third proportional to 14,715 and 22,514.63 is: 34,448.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,715 : 22,514.63 = 22,514.63 : x
  2. Step 2: Convert to fraction form
    14,715/22,514.63 = 22,514.63/x
  3. Step 3: Cross multiply
    14,715x = 22,514.63 × 22,514.63
  4. Step 4: Simplify right side
    14,715x = 506,908,338.89
  5. Step 5: Solve for x
    x = 506,908,338.89/14,715
  6. Step 6: Final answer
    x = 34,448.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.