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Finding the Third Proportional to 42,676.88 and 61,477.50

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Solution

The third proportional to 42,676.88 and 61,477.50 is: 88,560.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,676.88 : 61,477.50 = 61,477.50 : x
  2. Step 2: Convert to fraction form
    42,676.88/61,477.50 = 61,477.50/x
  3. Step 3: Cross multiply
    42,676.88x = 61,477.50 × 61,477.50
  4. Step 4: Simplify right side
    42,676.88x = 3,779,483,006.25
  5. Step 5: Solve for x
    x = 3,779,483,006.25/42,676.88
  6. Step 6: Final answer
    x = 88,560.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.