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Finding the Third Proportional to 46,946 and 64,371

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Solution

The third proportional to 46,946 and 64,371 is: 88,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,946 : 64,371 = 64,371 : x
  2. Step 2: Convert to fraction form
    46,946/64,371 = 64,371/x
  3. Step 3: Cross multiply
    46,946x = 64,371 × 64,371
  4. Step 4: Simplify right side
    46,946x = 4,143,625,641
  5. Step 5: Solve for x
    x = 4,143,625,641/46,946
  6. Step 6: Final answer
    x = 88,263.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.