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Finding the Third Proportional to 19,501.13 and 46,019.06

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Solution

The third proportional to 19,501.13 and 46,019.06 is: 108,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,501.13 : 46,019.06 = 46,019.06 : x
  2. Step 2: Convert to fraction form
    19,501.13/46,019.06 = 46,019.06/x
  3. Step 3: Cross multiply
    19,501.13x = 46,019.06 × 46,019.06
  4. Step 4: Simplify right side
    19,501.13x = 2,117,754,113.38
  5. Step 5: Solve for x
    x = 2,117,754,113.38/19,501.13
  6. Step 6: Final answer
    x = 108,596.51

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.