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Finding the Third Proportional to 24,719.34 and 38,307.94

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Solution

The third proportional to 24,719.34 and 38,307.94 is: 59,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,719.34 : 38,307.94 = 38,307.94 : x
  2. Step 2: Convert to fraction form
    24,719.34/38,307.94 = 38,307.94/x
  3. Step 3: Cross multiply
    24,719.34x = 38,307.94 × 38,307.94
  4. Step 4: Simplify right side
    24,719.34x = 1,467,498,075.50
  5. Step 5: Solve for x
    x = 1,467,498,075.50/24,719.34
  6. Step 6: Final answer
    x = 59,366.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.