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Finding the Third Proportional to 15,670.13 and 24,458.63

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Solution

The third proportional to 15,670.13 and 24,458.63 is: 38,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,670.13 : 24,458.63 = 24,458.63 : x
  2. Step 2: Convert to fraction form
    15,670.13/24,458.63 = 24,458.63/x
  3. Step 3: Cross multiply
    15,670.13x = 24,458.63 × 24,458.63
  4. Step 4: Simplify right side
    15,670.13x = 598,224,336.89
  5. Step 5: Solve for x
    x = 598,224,336.89/15,670.13
  6. Step 6: Final answer
    x = 38,176.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.