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Finding the Third Proportional to 46,998 and 63,799

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Solution

The third proportional to 46,998 and 63,799 is: 86,606.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,998 : 63,799 = 63,799 : x
  2. Step 2: Convert to fraction form
    46,998/63,799 = 63,799/x
  3. Step 3: Cross multiply
    46,998x = 63,799 × 63,799
  4. Step 4: Simplify right side
    46,998x = 4,070,312,401
  5. Step 5: Solve for x
    x = 4,070,312,401/46,998
  6. Step 6: Final answer
    x = 86,606.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.