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Finding the Third Proportional to 24,830.16 and 54,302.34

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Solution

The third proportional to 24,830.16 and 54,302.34 is: 118,756.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,830.16 : 54,302.34 = 54,302.34 : x
  2. Step 2: Convert to fraction form
    24,830.16/54,302.34 = 54,302.34/x
  3. Step 3: Cross multiply
    24,830.16x = 54,302.34 × 54,302.34
  4. Step 4: Simplify right side
    24,830.16x = 2,948,744,536.74
  5. Step 5: Solve for x
    x = 2,948,744,536.74/24,830.16
  6. Step 6: Final answer
    x = 118,756.58

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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.