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Finding the Third Proportional to 49,017 and 72,088.50

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Solution

The third proportional to 49,017 and 72,088.50 is: 106,019.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,017 : 72,088.50 = 72,088.50 : x
  2. Step 2: Convert to fraction form
    49,017/72,088.50 = 72,088.50/x
  3. Step 3: Cross multiply
    49,017x = 72,088.50 × 72,088.50
  4. Step 4: Simplify right side
    49,017x = 5,196,751,832.25
  5. Step 5: Solve for x
    x = 5,196,751,832.25/49,017
  6. Step 6: Final answer
    x = 106,019.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.