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Finding the Third Proportional to 47,581 and 74,095

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Solution

The third proportional to 47,581 and 74,095 is: 115,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,581 : 74,095 = 74,095 : x
  2. Step 2: Convert to fraction form
    47,581/74,095 = 74,095/x
  3. Step 3: Cross multiply
    47,581x = 74,095 × 74,095
  4. Step 4: Simplify right side
    47,581x = 5,490,069,025
  5. Step 5: Solve for x
    x = 5,490,069,025/47,581
  6. Step 6: Final answer
    x = 115,383.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.