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Finding the Third Proportional to 4,567.48 and 10,007.77

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Solution

The third proportional to 4,567.48 and 10,007.77 is: 21,927.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.48 : 10,007.77 = 10,007.77 : x
  2. Step 2: Convert to fraction form
    4,567.48/10,007.77 = 10,007.77/x
  3. Step 3: Cross multiply
    4,567.48x = 10,007.77 × 10,007.77
  4. Step 4: Simplify right side
    4,567.48x = 100,155,490.08
  5. Step 5: Solve for x
    x = 100,155,490.08/4,567.48
  6. Step 6: Final answer
    x = 21,927.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.