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Finding the Third Proportional to 48,023.16 and 70,477.88

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Solution

The third proportional to 48,023.16 and 70,477.88 is: 103,432.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,023.16 : 70,477.88 = 70,477.88 : x
  2. Step 2: Convert to fraction form
    48,023.16/70,477.88 = 70,477.88/x
  3. Step 3: Cross multiply
    48,023.16x = 70,477.88 × 70,477.88
  4. Step 4: Simplify right side
    48,023.16x = 4,967,130,864.52
  5. Step 5: Solve for x
    x = 4,967,130,864.52/48,023.16
  6. Step 6: Final answer
    x = 103,432.00

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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.