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Finding the Third Proportional to 14,597 and 22,577

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Solution

The third proportional to 14,597 and 22,577 is: 34,919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597 : 22,577 = 22,577 : x
  2. Step 2: Convert to fraction form
    14,597/22,577 = 22,577/x
  3. Step 3: Cross multiply
    14,597x = 22,577 × 22,577
  4. Step 4: Simplify right side
    14,597x = 509,720,929
  5. Step 5: Solve for x
    x = 509,720,929/14,597
  6. Step 6: Final answer
    x = 34,919.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.