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Finding the Third Proportional to 39,422 and 46,712

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Solution

The third proportional to 39,422 and 46,712 is: 55,350.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,422 : 46,712 = 46,712 : x
  2. Step 2: Convert to fraction form
    39,422/46,712 = 46,712/x
  3. Step 3: Cross multiply
    39,422x = 46,712 × 46,712
  4. Step 4: Simplify right side
    39,422x = 2,182,010,944
  5. Step 5: Solve for x
    x = 2,182,010,944/39,422
  6. Step 6: Final answer
    x = 55,350.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.