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Finding the Third Proportional to 40,201 and 59,097.75

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Solution

The third proportional to 40,201 and 59,097.75 is: 86,877.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,201 : 59,097.75 = 59,097.75 : x
  2. Step 2: Convert to fraction form
    40,201/59,097.75 = 59,097.75/x
  3. Step 3: Cross multiply
    40,201x = 59,097.75 × 59,097.75
  4. Step 4: Simplify right side
    40,201x = 3,492,544,055.06
  5. Step 5: Solve for x
    x = 3,492,544,055.06/40,201
  6. Step 6: Final answer
    x = 86,877.04

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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.