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Finding the Third Proportional to 46,316.50 and 73,758

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Solution

The third proportional to 46,316.50 and 73,758 is: 117,457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,316.50 : 73,758 = 73,758 : x
  2. Step 2: Convert to fraction form
    46,316.50/73,758 = 73,758/x
  3. Step 3: Cross multiply
    46,316.50x = 73,758 × 73,758
  4. Step 4: Simplify right side
    46,316.50x = 5,440,242,564
  5. Step 5: Solve for x
    x = 5,440,242,564/46,316.50
  6. Step 6: Final answer
    x = 117,457.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.