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Finding the Third Proportional to 10,421.16 and 15,721.59

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Solution

The third proportional to 10,421.16 and 15,721.59 is: 23,717.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.16 : 15,721.59 = 15,721.59 : x
  2. Step 2: Convert to fraction form
    10,421.16/15,721.59 = 15,721.59/x
  3. Step 3: Cross multiply
    10,421.16x = 15,721.59 × 15,721.59
  4. Step 4: Simplify right side
    10,421.16x = 247,168,510.04
  5. Step 5: Solve for x
    x = 247,168,510.04/10,421.16
  6. Step 6: Final answer
    x = 23,717.95

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