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Finding the Third Proportional to 7,210.13 and 15,688.13

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Solution

The third proportional to 7,210.13 and 15,688.13 is: 34,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.13 : 15,688.13 = 15,688.13 : x
  2. Step 2: Convert to fraction form
    7,210.13/15,688.13 = 15,688.13/x
  3. Step 3: Cross multiply
    7,210.13x = 15,688.13 × 15,688.13
  4. Step 4: Simplify right side
    7,210.13x = 246,117,266.02
  5. Step 5: Solve for x
    x = 246,117,266.02/7,210.13
  6. Step 6: Final answer
    x = 34,134.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.