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Finding the Third Proportional to 32,790 and 49,575

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Solution

The third proportional to 32,790 and 49,575 is: 74,952.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,790 : 49,575 = 49,575 : x
  2. Step 2: Convert to fraction form
    32,790/49,575 = 49,575/x
  3. Step 3: Cross multiply
    32,790x = 49,575 × 49,575
  4. Step 4: Simplify right side
    32,790x = 2,457,680,625
  5. Step 5: Solve for x
    x = 2,457,680,625/32,790
  6. Step 6: Final answer
    x = 74,952.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.