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Finding the Third Proportional to 53,484.50 and 93,844

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Solution

The third proportional to 53,484.50 and 93,844 is: 164,658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,484.50 : 93,844 = 93,844 : x
  2. Step 2: Convert to fraction form
    53,484.50/93,844 = 93,844/x
  3. Step 3: Cross multiply
    53,484.50x = 93,844 × 93,844
  4. Step 4: Simplify right side
    53,484.50x = 8,806,696,336
  5. Step 5: Solve for x
    x = 8,806,696,336/53,484.50
  6. Step 6: Final answer
    x = 164,658.85

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.