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Finding the Third Proportional to 18,495 and 29,416.50

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Solution

The third proportional to 18,495 and 29,416.50 is: 46,787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,495 : 29,416.50 = 29,416.50 : x
  2. Step 2: Convert to fraction form
    18,495/29,416.50 = 29,416.50/x
  3. Step 3: Cross multiply
    18,495x = 29,416.50 × 29,416.50
  4. Step 4: Simplify right side
    18,495x = 865,330,472.25
  5. Step 5: Solve for x
    x = 865,330,472.25/18,495
  6. Step 6: Final answer
    x = 46,787.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.