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Finding the Third Proportional to 29,692.13 and 70,062.19

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Solution

The third proportional to 29,692.13 and 70,062.19 is: 165,320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,692.13 : 70,062.19 = 70,062.19 : x
  2. Step 2: Convert to fraction form
    29,692.13/70,062.19 = 70,062.19/x
  3. Step 3: Cross multiply
    29,692.13x = 70,062.19 × 70,062.19
  4. Step 4: Simplify right side
    29,692.13x = 4,908,710,117.29
  5. Step 5: Solve for x
    x = 4,908,710,117.29/29,692.13
  6. Step 6: Final answer
    x = 165,320.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.