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Finding the Third Proportional to 10,590.63 and 22,924.50

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Solution

The third proportional to 10,590.63 and 22,924.50 is: 49,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.63 : 22,924.50 = 22,924.50 : x
  2. Step 2: Convert to fraction form
    10,590.63/22,924.50 = 22,924.50/x
  3. Step 3: Cross multiply
    10,590.63x = 22,924.50 × 22,924.50
  4. Step 4: Simplify right side
    10,590.63x = 525,532,700.25
  5. Step 5: Solve for x
    x = 525,532,700.25/10,590.63
  6. Step 6: Final answer
    x = 49,622.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.