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Finding the Third Proportional to 9,266.63 and 10,603.13

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Solution

The third proportional to 9,266.63 and 10,603.13 is: 12,132.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.63 : 10,603.13 = 10,603.13 : x
  2. Step 2: Convert to fraction form
    9,266.63/10,603.13 = 10,603.13/x
  3. Step 3: Cross multiply
    9,266.63x = 10,603.13 × 10,603.13
  4. Step 4: Simplify right side
    9,266.63x = 112,426,259.77
  5. Step 5: Solve for x
    x = 112,426,259.77/9,266.63
  6. Step 6: Final answer
    x = 12,132.38

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.