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Finding the Third Proportional to 46,482.75 and 61,386

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Solution

The third proportional to 46,482.75 and 61,386 is: 81,067.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,482.75 : 61,386 = 61,386 : x
  2. Step 2: Convert to fraction form
    46,482.75/61,386 = 61,386/x
  3. Step 3: Cross multiply
    46,482.75x = 61,386 × 61,386
  4. Step 4: Simplify right side
    46,482.75x = 3,768,240,996
  5. Step 5: Solve for x
    x = 3,768,240,996/46,482.75
  6. Step 6: Final answer
    x = 81,067.51

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.