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Finding the Third Proportional to 47,902 and 73,527

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Solution

The third proportional to 47,902 and 73,527 is: 112,860.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,902 : 73,527 = 73,527 : x
  2. Step 2: Convert to fraction form
    47,902/73,527 = 73,527/x
  3. Step 3: Cross multiply
    47,902x = 73,527 × 73,527
  4. Step 4: Simplify right side
    47,902x = 5,406,219,729
  5. Step 5: Solve for x
    x = 5,406,219,729/47,902
  6. Step 6: Final answer
    x = 112,860.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.