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Finding the Third Proportional to 15,810.19 and 23,707.69

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Solution

The third proportional to 15,810.19 and 23,707.69 is: 35,550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,810.19 : 23,707.69 = 23,707.69 : x
  2. Step 2: Convert to fraction form
    15,810.19/23,707.69 = 23,707.69/x
  3. Step 3: Cross multiply
    15,810.19x = 23,707.69 × 23,707.69
  4. Step 4: Simplify right side
    15,810.19x = 562,054,446.60
  5. Step 5: Solve for x
    x = 562,054,446.60/15,810.19
  6. Step 6: Final answer
    x = 35,550.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.