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Finding the Third Proportional to 46,374 and 67,617

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Solution

The third proportional to 46,374 and 67,617 is: 98,590.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,374 : 67,617 = 67,617 : x
  2. Step 2: Convert to fraction form
    46,374/67,617 = 67,617/x
  3. Step 3: Cross multiply
    46,374x = 67,617 × 67,617
  4. Step 4: Simplify right side
    46,374x = 4,572,058,689
  5. Step 5: Solve for x
    x = 4,572,058,689/46,374
  6. Step 6: Final answer
    x = 98,590.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.