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Finding the Third Proportional to 12,537 and 29,702.25

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Solution

The third proportional to 12,537 and 29,702.25 is: 70,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537 : 29,702.25 = 29,702.25 : x
  2. Step 2: Convert to fraction form
    12,537/29,702.25 = 29,702.25/x
  3. Step 3: Cross multiply
    12,537x = 29,702.25 × 29,702.25
  4. Step 4: Simplify right side
    12,537x = 882,223,655.06
  5. Step 5: Solve for x
    x = 882,223,655.06/12,537
  6. Step 6: Final answer
    x = 70,369.60

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.