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Finding the Third Proportional to 32,574 and 77,544

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Solution

The third proportional to 32,574 and 77,544 is: 184,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,574 : 77,544 = 77,544 : x
  2. Step 2: Convert to fraction form
    32,574/77,544 = 77,544/x
  3. Step 3: Cross multiply
    32,574x = 77,544 × 77,544
  4. Step 4: Simplify right side
    32,574x = 6,013,071,936
  5. Step 5: Solve for x
    x = 6,013,071,936/32,574
  6. Step 6: Final answer
    x = 184,597.28

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.