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Finding the Third Proportional to 32,931 and 46,587

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Solution

The third proportional to 32,931 and 46,587 is: 65,905.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,931 : 46,587 = 46,587 : x
  2. Step 2: Convert to fraction form
    32,931/46,587 = 46,587/x
  3. Step 3: Cross multiply
    32,931x = 46,587 × 46,587
  4. Step 4: Simplify right side
    32,931x = 2,170,348,569
  5. Step 5: Solve for x
    x = 2,170,348,569/32,931
  6. Step 6: Final answer
    x = 65,905.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.