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Finding the Third Proportional to 15,565.88 and 23,510.81

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Solution

The third proportional to 15,565.88 and 23,510.81 is: 35,510.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,565.88 : 23,510.81 = 23,510.81 : x
  2. Step 2: Convert to fraction form
    15,565.88/23,510.81 = 23,510.81/x
  3. Step 3: Cross multiply
    15,565.88x = 23,510.81 × 23,510.81
  4. Step 4: Simplify right side
    15,565.88x = 552,758,304.41
  5. Step 5: Solve for x
    x = 552,758,304.41/15,565.88
  6. Step 6: Final answer
    x = 35,510.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.