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Finding the Third Proportional to 28,962.50 and 63,461

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Solution

The third proportional to 28,962.50 and 63,461 is: 139,052.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,962.50 : 63,461 = 63,461 : x
  2. Step 2: Convert to fraction form
    28,962.50/63,461 = 63,461/x
  3. Step 3: Cross multiply
    28,962.50x = 63,461 × 63,461
  4. Step 4: Simplify right side
    28,962.50x = 4,027,298,521
  5. Step 5: Solve for x
    x = 4,027,298,521/28,962.50
  6. Step 6: Final answer
    x = 139,052.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.