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Finding the Third Proportional to 23,142 and 54,592.50

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Solution

The third proportional to 23,142 and 54,592.50 is: 128,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142 : 54,592.50 = 54,592.50 : x
  2. Step 2: Convert to fraction form
    23,142/54,592.50 = 54,592.50/x
  3. Step 3: Cross multiply
    23,142x = 54,592.50 × 54,592.50
  4. Step 4: Simplify right side
    23,142x = 2,980,341,056.25
  5. Step 5: Solve for x
    x = 2,980,341,056.25/23,142
  6. Step 6: Final answer
    x = 128,784.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.