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Finding the Third Proportional to 24,751 and 38,368.50

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Solution

The third proportional to 24,751 and 38,368.50 is: 59,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,751 : 38,368.50 = 38,368.50 : x
  2. Step 2: Convert to fraction form
    24,751/38,368.50 = 38,368.50/x
  3. Step 3: Cross multiply
    24,751x = 38,368.50 × 38,368.50
  4. Step 4: Simplify right side
    24,751x = 1,472,141,792.25
  5. Step 5: Solve for x
    x = 1,472,141,792.25/24,751
  6. Step 6: Final answer
    x = 59,478.07

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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.