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Finding the Third Proportional to 15,323.63 and 23,431.13

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Solution

The third proportional to 15,323.63 and 23,431.13 is: 35,828.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,323.63 : 23,431.13 = 23,431.13 : x
  2. Step 2: Convert to fraction form
    15,323.63/23,431.13 = 23,431.13/x
  3. Step 3: Cross multiply
    15,323.63x = 23,431.13 × 23,431.13
  4. Step 4: Simplify right side
    15,323.63x = 549,017,618.77
  5. Step 5: Solve for x
    x = 549,017,618.77/15,323.63
  6. Step 6: Final answer
    x = 35,828.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.