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Finding the Third Proportional to 49,345 and 72,018.50

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Solution

The third proportional to 49,345 and 72,018.50 is: 105,110.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,345 : 72,018.50 = 72,018.50 : x
  2. Step 2: Convert to fraction form
    49,345/72,018.50 = 72,018.50/x
  3. Step 3: Cross multiply
    49,345x = 72,018.50 × 72,018.50
  4. Step 4: Simplify right side
    49,345x = 5,186,664,342.25
  5. Step 5: Solve for x
    x = 5,186,664,342.25/49,345
  6. Step 6: Final answer
    x = 105,110.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.