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Finding the Third Proportional to 29,897 and 63,438.25

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Solution

The third proportional to 29,897 and 63,438.25 is: 134,609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,897 : 63,438.25 = 63,438.25 : x
  2. Step 2: Convert to fraction form
    29,897/63,438.25 = 63,438.25/x
  3. Step 3: Cross multiply
    29,897x = 63,438.25 × 63,438.25
  4. Step 4: Simplify right side
    29,897x = 4,024,411,563.06
  5. Step 5: Solve for x
    x = 4,024,411,563.06/29,897
  6. Step 6: Final answer
    x = 134,609.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.