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Finding the Third Proportional to 15,210.75 and 23,441.63

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Solution

The third proportional to 15,210.75 and 23,441.63 is: 36,126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,210.75 : 23,441.63 = 23,441.63 : x
  2. Step 2: Convert to fraction form
    15,210.75/23,441.63 = 23,441.63/x
  3. Step 3: Cross multiply
    15,210.75x = 23,441.63 × 23,441.63
  4. Step 4: Simplify right side
    15,210.75x = 549,509,782.64
  5. Step 5: Solve for x
    x = 549,509,782.64/15,210.75
  6. Step 6: Final answer
    x = 36,126.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.