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Finding the Third Proportional to 4,703.48 and 10,141.45

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Solution

The third proportional to 4,703.48 and 10,141.45 is: 21,866.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.48 : 10,141.45 = 10,141.45 : x
  2. Step 2: Convert to fraction form
    4,703.48/10,141.45 = 10,141.45/x
  3. Step 3: Cross multiply
    4,703.48x = 10,141.45 × 10,141.45
  4. Step 4: Simplify right side
    4,703.48x = 102,849,071.49
  5. Step 5: Solve for x
    x = 102,849,071.49/4,703.48
  6. Step 6: Final answer
    x = 21,866.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.