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Finding the Third Proportional to 29,984 and 64,585

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Solution

The third proportional to 29,984 and 64,585 is: 139,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,984 : 64,585 = 64,585 : x
  2. Step 2: Convert to fraction form
    29,984/64,585 = 64,585/x
  3. Step 3: Cross multiply
    29,984x = 64,585 × 64,585
  4. Step 4: Simplify right side
    29,984x = 4,171,222,225
  5. Step 5: Solve for x
    x = 4,171,222,225/29,984
  6. Step 6: Final answer
    x = 139,114.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.