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Finding the Third Proportional to 10,312.88 and 15,995.81

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Solution

The third proportional to 10,312.88 and 15,995.81 is: 24,810.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.88 : 15,995.81 = 15,995.81 : x
  2. Step 2: Convert to fraction form
    10,312.88/15,995.81 = 15,995.81/x
  3. Step 3: Cross multiply
    10,312.88x = 15,995.81 × 15,995.81
  4. Step 4: Simplify right side
    10,312.88x = 255,866,017.54
  5. Step 5: Solve for x
    x = 255,866,017.54/10,312.88
  6. Step 6: Final answer
    x = 24,810.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.