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Finding the Third Proportional to 32,886 and 46,535

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Solution

The third proportional to 32,886 and 46,535 is: 65,848.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,886 : 46,535 = 46,535 : x
  2. Step 2: Convert to fraction form
    32,886/46,535 = 46,535/x
  3. Step 3: Cross multiply
    32,886x = 46,535 × 46,535
  4. Step 4: Simplify right side
    32,886x = 2,165,506,225
  5. Step 5: Solve for x
    x = 2,165,506,225/32,886
  6. Step 6: Final answer
    x = 65,848.88

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.