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Finding the Third Proportional to 24,266.81 and 38,075.06

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Solution

The third proportional to 24,266.81 and 38,075.06 is: 59,740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,266.81 : 38,075.06 = 38,075.06 : x
  2. Step 2: Convert to fraction form
    24,266.81/38,075.06 = 38,075.06/x
  3. Step 3: Cross multiply
    24,266.81x = 38,075.06 × 38,075.06
  4. Step 4: Simplify right side
    24,266.81x = 1,449,710,384.38
  5. Step 5: Solve for x
    x = 1,449,710,384.38/24,266.81
  6. Step 6: Final answer
    x = 59,740.45

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.