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Finding the Third Proportional to 22,465.87 and 48,048.50

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Solution

The third proportional to 22,465.87 and 48,048.50 is: 102,762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465.87 : 48,048.50 = 48,048.50 : x
  2. Step 2: Convert to fraction form
    22,465.87/48,048.50 = 48,048.50/x
  3. Step 3: Cross multiply
    22,465.87x = 48,048.50 × 48,048.50
  4. Step 4: Simplify right side
    22,465.87x = 2,308,658,727.63
  5. Step 5: Solve for x
    x = 2,308,658,727.63/22,465.87
  6. Step 6: Final answer
    x = 102,762.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.