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Finding the Third Proportional to 8,810.63 and 12,972.56

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Solution

The third proportional to 8,810.63 and 12,972.56 is: 19,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,810.63 : 12,972.56 = 12,972.56 : x
  2. Step 2: Convert to fraction form
    8,810.63/12,972.56 = 12,972.56/x
  3. Step 3: Cross multiply
    8,810.63x = 12,972.56 × 12,972.56
  4. Step 4: Simplify right side
    8,810.63x = 168,287,377.82
  5. Step 5: Solve for x
    x = 168,287,377.82/8,810.63
  6. Step 6: Final answer
    x = 19,100.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.