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Finding the Third Proportional to 23,587.14 and 34,522.14

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Solution

The third proportional to 23,587.14 and 34,522.14 is: 50,526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,587.14 : 34,522.14 = 34,522.14 : x
  2. Step 2: Convert to fraction form
    23,587.14/34,522.14 = 34,522.14/x
  3. Step 3: Cross multiply
    23,587.14x = 34,522.14 × 34,522.14
  4. Step 4: Simplify right side
    23,587.14x = 1,191,777,923.63
  5. Step 5: Solve for x
    x = 1,191,777,923.63/23,587.14
  6. Step 6: Final answer
    x = 50,526.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.