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Finding the Third Proportional to 25,461.84 and 54,864.84

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Solution

The third proportional to 25,461.84 and 54,864.84 is: 118,222.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,461.84 : 54,864.84 = 54,864.84 : x
  2. Step 2: Convert to fraction form
    25,461.84/54,864.84 = 54,864.84/x
  3. Step 3: Cross multiply
    25,461.84x = 54,864.84 × 54,864.84
  4. Step 4: Simplify right side
    25,461.84x = 3,010,151,079.71
  5. Step 5: Solve for x
    x = 3,010,151,079.71/25,461.84
  6. Step 6: Final answer
    x = 118,222.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.