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Finding the Third Proportional to 19,075.50 and 29,003.63

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Solution

The third proportional to 19,075.50 and 29,003.63 is: 44,098.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,075.50 : 29,003.63 = 29,003.63 : x
  2. Step 2: Convert to fraction form
    19,075.50/29,003.63 = 29,003.63/x
  3. Step 3: Cross multiply
    19,075.50x = 29,003.63 × 29,003.63
  4. Step 4: Simplify right side
    19,075.50x = 841,210,263.14
  5. Step 5: Solve for x
    x = 841,210,263.14/19,075.50
  6. Step 6: Final answer
    x = 44,098.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.