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Finding the Third Proportional to 21,657 and 46,537

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Solution

The third proportional to 21,657 and 46,537 is: 99,999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657 : 46,537 = 46,537 : x
  2. Step 2: Convert to fraction form
    21,657/46,537 = 46,537/x
  3. Step 3: Cross multiply
    21,657x = 46,537 × 46,537
  4. Step 4: Simplify right side
    21,657x = 2,165,692,369
  5. Step 5: Solve for x
    x = 2,165,692,369/21,657
  6. Step 6: Final answer
    x = 99,999.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.