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Finding the Third Proportional to 14,632.88 and 31,088.81

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Solution

The third proportional to 14,632.88 and 31,088.81 is: 66,050.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,632.88 : 31,088.81 = 31,088.81 : x
  2. Step 2: Convert to fraction form
    14,632.88/31,088.81 = 31,088.81/x
  3. Step 3: Cross multiply
    14,632.88x = 31,088.81 × 31,088.81
  4. Step 4: Simplify right side
    14,632.88x = 966,514,262.66
  5. Step 5: Solve for x
    x = 966,514,262.66/14,632.88
  6. Step 6: Final answer
    x = 66,050.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.