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Finding the Third Proportional to 9,764.61 and 16,030.88

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Solution

The third proportional to 9,764.61 and 16,030.88 is: 26,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.61 : 16,030.88 = 16,030.88 : x
  2. Step 2: Convert to fraction form
    9,764.61/16,030.88 = 16,030.88/x
  3. Step 3: Cross multiply
    9,764.61x = 16,030.88 × 16,030.88
  4. Step 4: Simplify right side
    9,764.61x = 256,989,141.13
  5. Step 5: Solve for x
    x = 256,989,141.13/9,764.61
  6. Step 6: Final answer
    x = 26,318.41

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.