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Finding the Third Proportional to 29,402 and 64,091

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Solution

The third proportional to 29,402 and 64,091 is: 139,706.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,402 : 64,091 = 64,091 : x
  2. Step 2: Convert to fraction form
    29,402/64,091 = 64,091/x
  3. Step 3: Cross multiply
    29,402x = 64,091 × 64,091
  4. Step 4: Simplify right side
    29,402x = 4,107,656,281
  5. Step 5: Solve for x
    x = 4,107,656,281/29,402
  6. Step 6: Final answer
    x = 139,706.70

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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.