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Finding the Third Proportional to 35,653 and 56,503.50

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Solution

The third proportional to 35,653 and 56,503.50 is: 89,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,653 : 56,503.50 = 56,503.50 : x
  2. Step 2: Convert to fraction form
    35,653/56,503.50 = 56,503.50/x
  3. Step 3: Cross multiply
    35,653x = 56,503.50 × 56,503.50
  4. Step 4: Simplify right side
    35,653x = 3,192,645,512.25
  5. Step 5: Solve for x
    x = 3,192,645,512.25/35,653
  6. Step 6: Final answer
    x = 89,547.74

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.