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Finding the Third Proportional to 42,687 and 61,492.50

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Solution

The third proportional to 42,687 and 61,492.50 is: 88,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,687 : 61,492.50 = 61,492.50 : x
  2. Step 2: Convert to fraction form
    42,687/61,492.50 = 61,492.50/x
  3. Step 3: Cross multiply
    42,687x = 61,492.50 × 61,492.50
  4. Step 4: Simplify right side
    42,687x = 3,781,327,556.25
  5. Step 5: Solve for x
    x = 3,781,327,556.25/42,687
  6. Step 6: Final answer
    x = 88,582.65

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