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Finding the Third Proportional to 10,030.50 and 12,849.75

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Solution

The third proportional to 10,030.50 and 12,849.75 is: 16,461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.50 : 12,849.75 = 12,849.75 : x
  2. Step 2: Convert to fraction form
    10,030.50/12,849.75 = 12,849.75/x
  3. Step 3: Cross multiply
    10,030.50x = 12,849.75 × 12,849.75
  4. Step 4: Simplify right side
    10,030.50x = 165,116,075.06
  5. Step 5: Solve for x
    x = 165,116,075.06/10,030.50
  6. Step 6: Final answer
    x = 16,461.40

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.