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Finding the Third Proportional to 29,213 and 42,877.50

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Solution

The third proportional to 29,213 and 42,877.50 is: 62,933.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,213 : 42,877.50 = 42,877.50 : x
  2. Step 2: Convert to fraction form
    29,213/42,877.50 = 42,877.50/x
  3. Step 3: Cross multiply
    29,213x = 42,877.50 × 42,877.50
  4. Step 4: Simplify right side
    29,213x = 1,838,480,006.25
  5. Step 5: Solve for x
    x = 1,838,480,006.25/29,213
  6. Step 6: Final answer
    x = 62,933.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.