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Finding the Third Proportional to 29,091 and 46,587

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Solution

The third proportional to 29,091 and 46,587 is: 74,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,091 : 46,587 = 46,587 : x
  2. Step 2: Convert to fraction form
    29,091/46,587 = 46,587/x
  3. Step 3: Cross multiply
    29,091x = 46,587 × 46,587
  4. Step 4: Simplify right side
    29,091x = 2,170,348,569
  5. Step 5: Solve for x
    x = 2,170,348,569/29,091
  6. Step 6: Final answer
    x = 74,605.50

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.