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Finding the Third Proportional to 19,545 and 46,092.75

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Solution

The third proportional to 19,545 and 46,092.75 is: 108,700.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,545 : 46,092.75 = 46,092.75 : x
  2. Step 2: Convert to fraction form
    19,545/46,092.75 = 46,092.75/x
  3. Step 3: Cross multiply
    19,545x = 46,092.75 × 46,092.75
  4. Step 4: Simplify right side
    19,545x = 2,124,541,602.56
  5. Step 5: Solve for x
    x = 2,124,541,602.56/19,545
  6. Step 6: Final answer
    x = 108,700.01

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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.