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Finding the Third Proportional to 37,669 and 56,585

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Solution

The third proportional to 37,669 and 56,585 is: 84,999.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,669 : 56,585 = 56,585 : x
  2. Step 2: Convert to fraction form
    37,669/56,585 = 56,585/x
  3. Step 3: Cross multiply
    37,669x = 56,585 × 56,585
  4. Step 4: Simplify right side
    37,669x = 3,201,862,225
  5. Step 5: Solve for x
    x = 3,201,862,225/37,669
  6. Step 6: Final answer
    x = 84,999.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.