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Finding the Third Proportional to 24,421.50 and 53,518.22

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Solution

The third proportional to 24,421.50 and 53,518.22 is: 117,281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,421.50 : 53,518.22 = 53,518.22 : x
  2. Step 2: Convert to fraction form
    24,421.50/53,518.22 = 53,518.22/x
  3. Step 3: Cross multiply
    24,421.50x = 53,518.22 × 53,518.22
  4. Step 4: Simplify right side
    24,421.50x = 2,864,199,738.17
  5. Step 5: Solve for x
    x = 2,864,199,738.17/24,421.50
  6. Step 6: Final answer
    x = 117,281.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.