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Finding the Third Proportional to 31,590 and 66,804

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Solution

The third proportional to 31,590 and 66,804 is: 141,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590 : 66,804 = 66,804 : x
  2. Step 2: Convert to fraction form
    31,590/66,804 = 66,804/x
  3. Step 3: Cross multiply
    31,590x = 66,804 × 66,804
  4. Step 4: Simplify right side
    31,590x = 4,462,774,416
  5. Step 5: Solve for x
    x = 4,462,774,416/31,590
  6. Step 6: Final answer
    x = 141,271.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.