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Finding the Third Proportional to 10,590.75 and 23,297.63

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Solution

The third proportional to 10,590.75 and 23,297.63 is: 51,250.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.75 : 23,297.63 = 23,297.63 : x
  2. Step 2: Convert to fraction form
    10,590.75/23,297.63 = 23,297.63/x
  3. Step 3: Cross multiply
    10,590.75x = 23,297.63 × 23,297.63
  4. Step 4: Simplify right side
    10,590.75x = 542,779,330.64
  5. Step 5: Solve for x
    x = 542,779,330.64/10,590.75
  6. Step 6: Final answer
    x = 51,250.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.