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Finding the Third Proportional to 45,730 and 61,763

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Solution

The third proportional to 45,730 and 61,763 is: 83,417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,730 : 61,763 = 61,763 : x
  2. Step 2: Convert to fraction form
    45,730/61,763 = 61,763/x
  3. Step 3: Cross multiply
    45,730x = 61,763 × 61,763
  4. Step 4: Simplify right side
    45,730x = 3,814,668,169
  5. Step 5: Solve for x
    x = 3,814,668,169/45,730
  6. Step 6: Final answer
    x = 83,417.19

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.