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Finding the Third Proportional to 31,051.13 and 67,024.13

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Solution

The third proportional to 31,051.13 and 67,024.13 is: 144,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,051.13 : 67,024.13 = 67,024.13 : x
  2. Step 2: Convert to fraction form
    31,051.13/67,024.13 = 67,024.13/x
  3. Step 3: Cross multiply
    31,051.13x = 67,024.13 × 67,024.13
  4. Step 4: Simplify right side
    31,051.13x = 4,492,233,332.02
  5. Step 5: Solve for x
    x = 4,492,233,332.02/31,051.13
  6. Step 6: Final answer
    x = 144,672.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.