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Finding the Third Proportional to 4,681.13 and 10,390.15

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Solution

The third proportional to 4,681.13 and 10,390.15 is: 23,061.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.13 : 10,390.15 = 10,390.15 : x
  2. Step 2: Convert to fraction form
    4,681.13/10,390.15 = 10,390.15/x
  3. Step 3: Cross multiply
    4,681.13x = 10,390.15 × 10,390.15
  4. Step 4: Simplify right side
    4,681.13x = 107,955,184.55
  5. Step 5: Solve for x
    x = 107,955,184.55/4,681.13
  6. Step 6: Final answer
    x = 23,061.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.