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Finding the Third Proportional to 31,848.75 and 59,121

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Solution

The third proportional to 31,848.75 and 59,121 is: 109,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,848.75 : 59,121 = 59,121 : x
  2. Step 2: Convert to fraction form
    31,848.75/59,121 = 59,121/x
  3. Step 3: Cross multiply
    31,848.75x = 59,121 × 59,121
  4. Step 4: Simplify right side
    31,848.75x = 3,495,292,641
  5. Step 5: Solve for x
    x = 3,495,292,641/31,848.75
  6. Step 6: Final answer
    x = 109,746.62

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.