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Finding the Third Proportional to 32,624 and 46,664

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Solution

The third proportional to 32,624 and 46,664 is: 66,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,624 : 46,664 = 46,664 : x
  2. Step 2: Convert to fraction form
    32,624/46,664 = 46,664/x
  3. Step 3: Cross multiply
    32,624x = 46,664 × 46,664
  4. Step 4: Simplify right side
    32,624x = 2,177,528,896
  5. Step 5: Solve for x
    x = 2,177,528,896/32,624
  6. Step 6: Final answer
    x = 66,746.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.