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Finding the Third Proportional to 28,776 and 61,549.50

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Solution

The third proportional to 28,776 and 61,549.50 is: 131,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,776 : 61,549.50 = 61,549.50 : x
  2. Step 2: Convert to fraction form
    28,776/61,549.50 = 61,549.50/x
  3. Step 3: Cross multiply
    28,776x = 61,549.50 × 61,549.50
  4. Step 4: Simplify right side
    28,776x = 3,788,340,950.25
  5. Step 5: Solve for x
    x = 3,788,340,950.25/28,776
  6. Step 6: Final answer
    x = 131,649.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.