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Finding the Third Proportional to 10,152.88 and 15,625.63

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Solution

The third proportional to 10,152.88 and 15,625.63 is: 24,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.88 : 15,625.63 = 15,625.63 : x
  2. Step 2: Convert to fraction form
    10,152.88/15,625.63 = 15,625.63/x
  3. Step 3: Cross multiply
    10,152.88x = 15,625.63 × 15,625.63
  4. Step 4: Simplify right side
    10,152.88x = 244,160,156.64
  5. Step 5: Solve for x
    x = 244,160,156.64/10,152.88
  6. Step 6: Final answer
    x = 24,048.38

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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.