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Finding the Third Proportional to 46,590 and 65,862

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Solution

The third proportional to 46,590 and 65,862 is: 93,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,590 : 65,862 = 65,862 : x
  2. Step 2: Convert to fraction form
    46,590/65,862 = 65,862/x
  3. Step 3: Cross multiply
    46,590x = 65,862 × 65,862
  4. Step 4: Simplify right side
    46,590x = 4,337,803,044
  5. Step 5: Solve for x
    x = 4,337,803,044/46,590
  6. Step 6: Final answer
    x = 93,105.88

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