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Finding the Third Proportional to 28,312 and 42,464

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Solution

The third proportional to 28,312 and 42,464 is: 63,690.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,312 : 42,464 = 42,464 : x
  2. Step 2: Convert to fraction form
    28,312/42,464 = 42,464/x
  3. Step 3: Cross multiply
    28,312x = 42,464 × 42,464
  4. Step 4: Simplify right side
    28,312x = 1,803,191,296
  5. Step 5: Solve for x
    x = 1,803,191,296/28,312
  6. Step 6: Final answer
    x = 63,690.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.