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Finding the Third Proportional to 24,470 and 56,698.50

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Solution

The third proportional to 24,470 and 56,698.50 is: 131,373.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,470 : 56,698.50 = 56,698.50 : x
  2. Step 2: Convert to fraction form
    24,470/56,698.50 = 56,698.50/x
  3. Step 3: Cross multiply
    24,470x = 56,698.50 × 56,698.50
  4. Step 4: Simplify right side
    24,470x = 3,214,719,902.25
  5. Step 5: Solve for x
    x = 3,214,719,902.25/24,470
  6. Step 6: Final answer
    x = 131,373.92

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.