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Finding the Third Proportional to 44,779.50 and 97,551

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Solution

The third proportional to 44,779.50 and 97,551 is: 212,512.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,779.50 : 97,551 = 97,551 : x
  2. Step 2: Convert to fraction form
    44,779.50/97,551 = 97,551/x
  3. Step 3: Cross multiply
    44,779.50x = 97,551 × 97,551
  4. Step 4: Simplify right side
    44,779.50x = 9,516,197,601
  5. Step 5: Solve for x
    x = 9,516,197,601/44,779.50
  6. Step 6: Final answer
    x = 212,512.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.